7
You are comparing 3 different cell phone plans to see which is the cheapest:
Plan A costs a basic fee of $30 per month and $10 for every GB of data used
Try writing each plan as an
equation in y = mx + b form where
Plan B costs a basic fee of $80 per month with unlimited data
=GBs used and y total cost.
Plan C costs a basic fee of $50 per month and $5 for every GB of data used
You're looking to replace the m and
b in the equation. For Plan A, where
a) Write an equation for each plan that calculates the total cost (y) in terms of GB of data used (x) would the $30 go? Where would
the
Plan A:
Plan B:
Plan C:
$10 go?
b) Graph each plan on the following set of axes.
Cell Phone Plan Costs
Cost
100
c) When does Plan A cost the same as
Plan C?
80
60
d) Which plan is best if you only use 0-
4 GBs of data a month?
40:
20.
GBs of
8 10 data used
4
6
e) When does Plan B become the best
deal?

7You Are Comparing 3 Different Cell Phone Plans To See Which Is The Cheapest:Plan A Costs A Basic Fee

Answers

Answer 1

Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

When does Plan A cost the same as Plan C?

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

Which plan is best if you only use 0-4 GBs of data a month?

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

When does Plan B become the best deal?

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B


Related Questions

Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps

Answers

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

6. Simplify the expression 2x + 8. when x=4​

Answers

Answer:

16

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Plug in:

8+8

Answer:

16

Step-by-step explanation:

2 × 4 = 8

8+8= 16

your answer is 16 when x equals 4

[tex]1\\2 times4=[/tex]

Answers

Answer:

2

Step-by-step explanation:

1/2 * 4

=4/2

= 2

Factor out the GCF from 40x2 −10x

Answers

Answer:

10x (4x - 1)

Step-by-step explanation:

The GCF we can factor out is 10x.

40x²/10x = 4x

-10x/10x = -1

the answer is 10x (4x-1) let me know if you need me to explain

can someone help me with 26 and 27?

Answers

Answer:

B

Step-by-step explanation:

DUE IN 5 MINUTES MATH QUESTION ​

Answers

Answer:

x= -10

Step-by-step explanation:

So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.

Next add all three angles (125 + x + 35 + x + 40)=180

Combine the x values to get 2x and subtract the three values from 180

Then 2x= -20, x should be equal to -10

You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again

The polynomial 5x — 4x² + 3 — 2x³ is in standard form.

True or False.

Answers

Answer:

False.Answer = -2x³ - 4x² +5x +3

MARK ME AS A BRAINLIST AND FOLLOW ME

pls help i will give brainliest

Answers

Answer:

the thrid one

Step-by-step explanation:

The first one and the third one

ughhhhhhh help again please!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix A nuts
contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x
represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts
and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be
produced?

Answers

Answer:

Cause it is

Step-by-step explanation:

Giving brainliest


Math!!

Answers

Answer: Option B
hope this helps!!

Answer:

B

Step-by-step explanation:

Find the value of 42 + 6 ÷ 2

Answers

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

What is the measure of ∠J?

Answers

Answer:

6 cm

Step-by-step explanation:

6. Francine lives 9/12 mile from school. What is the distance from school
written as a decimal?
A. 12.9
B. 7.5
C. 9.12
D. 0.75

Answers

The answer is D. 0.75

In a relay race, Aisha ran 1 and ¾ of a mile and Paula ran 1 and 5/12 of a mile. Who ran farther?

Answers

Answer:

Aisha ran farther

Step-by-step explanation:

Aisha - 1 9/12

Paula - 1 5/12

Make the denominator the same

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Plz help due tomorrow

Answers

Answer:

15/16

Step-by-step explanation:

5×3=15

4×4=16

if they're two - you count them +

(my English is not very good :( )

5x3=15 4x4=16 those should be good

The solution to a system of linear equations is (0, 4).
One of the linear equations in the system is
y = 8x +4.

Which equation could be the other linear equation in the system?
• y=8
• y= 4.0
• y = 80
• y=4

Answers

Its y=4 the answer for this question

A plane started on the ground at ground level near the ocean. Upon taking off it climbed 9000 meters and leveled off. At the same time a submarine left from the same shoreline. It dove 250 meters down into the ocean. How many meters are there between the plane and the submarine.

Integers

Answers

Answer:

There is 9250 meters between the plane and the submarine.

Step-by-step explanation:

9000 above

250 below

9000+250= 9250 between the two vehicles

Rita collected and stored beads in 4 different bags.the table below shows the number and color of beeds in each bag.

Answers

Answer:

Add the table and i might answer correctly

Step-by-step explanation:

hey may we please see the table? :))

discover the pattern and continue
monday, wednesday, tuesday, thursday,_____,_____, thursday

Answers

Answer:

Wednesday Tuesday. ya

Step-by-step explanation:

work backwads

Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?

Answers

There are 9 other CD's of a different genre.

please help i dont understand and can u put how to do it

Answers

Answer:

1.88261%

Step-by-step explanation:

Use the formula (E - T) / |T| * 100

(92 - 90.3) / |90.3| * 100

1.7 / 90.3 * 100

0.0188261 * 100

And you get a 1.88261 percent error :)

Solve for X:
5x+3x=2(4x-5)-2

Answers

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

You and your friend participate in a charity run. For every mile run, $2 is donated to the charity. You run 4 miles and your friend runs 3 miles. How much money, in dollars, do you and your friend raise for the charity?

Answers

Answer:

$14

Step-by-step explanation:

Multiply each mile run by the amount of money for each mile. In this case, you run 4 miles and get $2 for each mile, so that's $8 for you. Your friend runs 3 miles, so that's another $6. Adding $8 plus $6 = $14.

You and your friend raised together 14 dollars for the charity by running.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, You and your friend participate in a charity run. For every mile run, $2 is donated to the charity.

Also given that You run 4 miles and your friend runs 3 miles.

Therefore, The amount in dollars you and your friend raised for the charity

is (2×4) + (2×3) dollars.

= 8 + 6 dollars.

= 14 dollars.

So, Both of them together raised 14 dollars for the charity.

learn more about numerical expressions here :

https://brainly.com/question/29199574

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

I WILL GIVE BRANIST plz help me

Answers

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

The answer?
A-(5,-3)
B-(2,0)
C-(8,0)
D-(-3,5)

Answers

The answer is clearly A
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