Mallory puts $1.00 in a jar. The following week, she puts 2 times that original amount in the jar. For each of the next six weeks, Mallory continues to double the amout of money she places in her savings jar each week.
Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs. (week, amount)

Answers

Answer 1

We want to see if the relationship between the number of weeks and the money put in the jar is linear or not, we will see that this is not a linear equation (it is exponential).

So a linear relation is something like:

y = a*x + b

Note that for any value of x, an increase of 1 unit gives:

y = a*(x+ 1) + b = (a*x + b) + a

So for increases of 1 unit in the x-value, we have increases of "a" units on the y-value.

In the given situation we have:

In week 1 she puts $1.00 in the jar.In week 2 she puts $2.00 in the jar (now the jar has $3.00 in it)In week 3 she puts $4.00 in the jar (now the jar has $7.00 on it)In week 4 she puts $8.00 in the jar (now the jar has $15.00 on it)

and so on.

Writing that as points we have:

(1, $1)

(2, $3)

(3, $7)

(4, $15)

Notice that for equal increases in the x-value, (increases of 1 unit) we don't equal increases in the y-value (first increases by $2, then by $4, etc...) So this is not a linear equation, this is actually exponential.

If you want to learn more, you can read:

https://brainly.com/question/19770987

Answer 2

The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.

Let x represents the number of weeks, and y represents the amount put in the jar, each week.

So, we have the following highlights for 6 weeks.

Week 1: (1, 1)Week 2: (2,2)Week 3: (3,4)Week 4: (4,8)Week 5: (5,16)Week 6: (6,32)

The ordered pairs can then be represented as:

[tex](x,y) = (1,1)(2,2)(3,4)(4,8)(5,16)(6,32)[/tex]

As the x values increase, the y values increase too, but the y values do not increase at a constant rate.

This means that the relationship is not linear; it is an exponential relationship.

Hence, the relationship is a nonlinear relationship.

Read more about linear relationships at:

https://brainly.com/question/7040405

Related Questions

reread lines 9-18. underline the parts of a bats body that humans also have. Study the image of the bat. How does showing body parts similar to a humans help you better understand a bats body? Support your answer with explicit textual evidence.

Answers

Answer:1/2 of an answer is zero answer.

Step-by-step explanation:

N'(-10,-15) is the image of N after a dilation with a scale factor of 5/4, centered at the origin. What are the coordinates of N?

Answers

When the point N is dilated, the coordinate of N changes to N'

The coordinate of point N is (8,12)

How to determine the coordinate of N

The given parameters are:

N' = (10,15)

k = 5/4

To calculate the coordinate of N, we make use of:

N * k = N'

So, we have:

N * 5/4 = (10,15)

Multiply both sides by 4

N * 5 = (40,60)

Divide both sides by 5

N = (8,12)

Hence, the coordinate of point N is (8,12)

Answers

Answer:

The 13 would be the constant.

Step-by-step explanation:

Shaun is painting a fence. After finishing three-eighths of the length of the fence he finds that
he has painted 15 feet. Let f be the total length of the fence, set up an equation like one of
those in 4(b) and solve to find f. Use either of the two methods.

Answers

Answer: F = 40

Step-by-step explanation:

*Important: I do not know what the methods mentioned in 4b are, nor do I know its equation. Please take this into account.

What we know:

3/8 is equal to 15 ftF is the total amount of fence paintedWe need to set up and solve the equation

How we do this:

Using basic division, this equation is solveable.

Process:

Divide to find 1/8 15/3 = 5 (1/8f = 5)Multiply to find total 5 x 8 = 40

(1/8 x 8 = 8/8)

Solution:

F = 40

8(5) = F

Answer: x = 40

Step-by-step explanation:

let f be the total length of the fence:

(3/8)f = 15

divide both sides by 3/8

f = 15 x 8/3

f = 120/3

f = 40

A chemist is using 389 milliliters of a solution of acid and water. If 14.6 of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

Answer:

389 - 14.6 = 374.4

Step-by-step explanation:

374.4 milliliters of acid are in there.

389
-14.6
———
374.4

374.4 milliliters

Who is in the game show?

Answers

Answer:

i Am bro

Step-by-step explanation:

What are you talking about

n is m% of what number?

Answers

Answer:

100

Step-by-step explanation:

n/m/100

n is divided by m%

m%=m/100

m%=m/100 means to multiply. n=(m/100)•x

When mom is doing cleaning on her own it takes 2 hours. When dad does cleaning, it takes 4 hours. How long will it take if both of them work together?

Answers

2 hours because mom will just kick dad out since he’s not helping much

It will take them 8 hours

A man is climbing down from 100 feet high descending 30 feet per minute. What equation is right?

1. y=100+30x
2. y=100x+30
3. y=100x-30
4. y=100-30x

Answers

Answer:

D. y=100-30x

Step-by-step explanation:

Every fpm (Feet Per Minute), the man is descending 30 feet

x = feet per minute

y = total amount

Given: x + 5 ≥ 10. Choose the graph of the solution set.

Answers

Answer:

We'll want to end this one with x ≥ another value.

Step-by-step explanation:

So, subtract 5 from both sides.

x+5≥10

-5 -5

x≥5

So, x must be greater than or equal to 5.

HELP!!! This question has me stumped

Answers

Answer:

21/12

1.75

this is the answer

hope it helps

Answer:

1.75

Step-by-step explanation:

hope it helps

Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left?

Answers

Answer:

Step-by-step explanation:

To answer this question, first we need to figure out how much of the board Rafi cut off.

To do this, we need to multiply the length of each piece by the number of pieces he cut off.

3 7/8 = 3.875

3.875 * 3 = 11.625

Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.

15 1/2 = 15.5

15.5 - 11.625 = 3.875

There is 3.875 feet or 3 7/8 of the board left.

1) Answer two questions from system A and B
System A=
8x-3y=0
2x+7y=3

System B=
8x-3y=0
8x+28y=12

A. Replace one equation with a multiple of itself
B. Replace one equation with a multiple of the other equation
C. Replace one equation with itself where the same quantity is added to both sides
D. Replace one equation with itself where a quantity is added to only one side

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

A. Yes
B. NO

Answers

Answer:

ITS GONNAAAA BE A I DID THIS LAST YEAR

Step-by-step explanation:

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of 75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the 8th-grade class?
X - how many students must be in the 8th-grade class

Answers

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLS

Half of the sum of a number n and 14 equals 5. What is the number n ?
n = 24
n = 12
n=−2
n=−4

Answers

Answer:

n = -4

Step-by-step explanation:

n+14/2 = 5

x2 x2

n + 14 = 10

-14 -14

n = -4

N=-4

Explaination
N+ 14/2= 5

-4+14=10
10/2=5

Therefore n= -4

Which of the following is true? (1 point)

|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|

whoever is smart enough gets brainliest >:))

Answers

It’s A because |-4| = 4 and 4>3

It’s A and D

explaintion
|-4| = 4
and |-3| = 3
and 3<4

A speed skater completes a 500 meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds.How do their speeds compare

Answers

Answer:

25:26

Step-by-step explanation:

You mean the ratio?

Let's simplify the speed skater first. 500 meter in 40 second to x meter in 1 second. 500/40=12.5 meters per seconds

Cheetah:260/10=26 meters per seconds

Let's make this into a integer

12.5*2=25

25:26

12.5 for the skater and 26 for the cheetah

99 + 81 = 9(11 help eeeeeeeeeeeeeeee

Answers

Answer:

180?

Step-by-step explanation:

99+81=180 I hope that’s what you’re asking good luck i hope you get it got a good grade (;

Does anyone know this cause I'm kinda confused

Answers

this is a Acute triangle

Select the expressions that are equivalent to 9d+4d.

Answers

The answer is
d • 13
7d + 2d + 4d
13d

Answer:

The first one, second one, and the last one. not the third one because 9d+3d=12d not 13d

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -1/4 and -7 y-intercept. NO LINKS.

Answers

Answer: [tex]y = -\frac{1}{4}x - 7[/tex]

That equation is in slope intercept form y = mx+b

m = -1/4 is the slope

b = -7 is the y intercept

M= -1/4 (SLOPE)
B= -7 (Y INTERCEPT)

PLEAS HELP ME I WILL GIVE 30 POINTS

Answers

Answer:

answer should be 0.166...

Step-by-step explanation:

i dont think this will help but i hope it does...

D: 0.16666666……..

You divide 1 from 6 and you get 0.16666666666 repeating and add a line over the first 6 since that number is reaping

Hope this helps

SImplify:

(2m)^5

Please help if possible :)

Answers

Your answer should be 32m^5
(2m)(2m)
4m^2(2m)
8m^3(2m)
16m^4(2m)
32^5

2m x 2m
4m^2 x 2m
8m^3 x 2m
16m^4 x 2m
32^5

What is the range of possible sizes for side x

Answers

5/6/7 is the answer i think but i m not sure

Answer:

...

Step-by-step explanation:

help me fill in the blanks please very easy just want to see peoples answers for points please answer correctly and in order.

Answers

Answer:

yea sorry same i don't understand

Step-by-step explanation:

I wish I could help I’m so sorry

What is the distance between the points? Round to the nearest tenth if necessary.

A. 6.7

B. 7.1

C. 3.0

D. 9.0

Answers

Answer:

Step-by-step explanation:

HELP! PLEASE!
• At store A, 3 pounds of apples cost $12.

• At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.

• The cost of apples at store C is shown in the graph.

(don't worry about the graph I know how to do this one)

Answer the questions to find out which store's apples are the least expensive.

2. What is the unit price of apples at store B? How did you use the equation to find the unit price? (2 points)

Answers

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Solve two and one-third times two and three fourths (Will give brainliest)
A.four and three twelfths
B.six and five twelfths
C.seven and five twelfths
D. eight and three twelfths

Answers

2+1+1+1= 6 and 2+3= 5

3×4= 12

(B) six and five twelfths

B. Six and five twelfths

On a map with a scale of 2 units = 35 miles, find the distance from Sanford to Myrtle Beach if the cities are 10 units apart

Answers

Step-by-step explanation:

35/2=17.5

17.5 x 10=175

175 miles because 2 units equal 35, times 5 equals 175

Amelia has 100$ in her savings account and plans on solving 20$ per week. Which equation is right?

1. y= 20x+100
2. y= 100x + 20
3. y=100x
4. y=20x

Answers

Answer: I think it is number 1. y=20x+100

It is number 1 because the word per signals you need a variable next to the number attached to that per so it is 20x and she already has 100 so it is number 1. 20x+100

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