Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Answers
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
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Related Questions
4) Find the slope of the following
graph.
у
-2
o
B
Answers
Answer:
-6/13
Step-by-step explanation:
Find the equation of a line that passes through (1,9) and is parallel to the graph of y=3x+4. Write the equation in slope-intercept form, if possible. Select the correct choice below and fill in the answer box to complete your choice. The equation of the parallel line in slope-intercept form is
enter your response here.
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
B.
The equation of the parallel line cannot be written in slope-intercept form. The equation of the parallel line is
enter your response here.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answers
Because the slope of Noah Garcia’s nose is bigger
2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:
Answers
Answer:
I hope this helps
Step-by-step explanation:
Cuanto es ³/4 de cerezas
Answers
Answer:
3/8
Step-by-step explanation:
Where is the point (0, -5) located on the coordinate plane?
A. In quadrant IV
B. In quadrant III
C. On the x-axis
D. On the yaxis
Answers
Hope this helps!!
Geometry problem, solve for X
Answers
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
Please help me with this homework
Answers
Answer:
c
Step-by-step explanation:
S=B+1/2Pl
-b from both sides
s-b=1/2Pl
x2 to both sides
2(S-B)=Pl
divide both sides by l
you get c
Tyra makes $21. 40 per hour at her job for the first 40 hours and $32. 10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856. 00 b. $963. 00 c. $1,016. 50 d. $1,444. 50.
Answers
Based on the information the amount she earn is: c. $1,016. 50 .
Hours worked= 45 -40
Hours worker=5 hours
Earning for first 40 hours
Earning = 40 × 21.40
Earning=$856
Earning for over 40 hours
Earning = 5 × 32.10
Earning=$160.5
Total earning
Total earning = $856 + $160.5
Total earning=$1,016.50
Inconclusion the amount she earn is: c. $1,016. 50 .
Learn more total earning here:https://brainly.com/question/13943984
Solve for b, c and d
Answers
Answer:
Answer to B:
4
Answer to C:
-4
Answer to D:
2
What is the area, in square centimeters, of the shape below? 3.7 cm 5.8 cm
Answers
Answer:
im pretty sure its 10.73, multiply 3.7 and 5.8 then divide 2
the seating capacity of a football stadium is 22,076.if 19,345 tikets are sold out. estimate the number of empty seats.
Answers
Answer:
about 3000 seats
Step-by-step explanation:
22,076 rounded to the nearest thousand is 22,000 and 19,345 rounded to the nearest thousand is 19,000
when you subtract that you get 3,000
The exact number is 2,731 and when it is rounded to the nearest thousand it is 3000
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
Answers
HEEEEELLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!
Name my faviorate food and you get brainliest
Answers
Answer:
pizza , or KFC, chic fil a
16 + ((15 + 5) + 32)
Answers
Answer:
68
Step-by-step explanation:
16 + ((15 + 5) + 32)
= 16 + (20+32)
= 16 + 52
= 68
* Use BODMAS to solve the sum
Which is the best way to fix the following run on sentence
Answers
Answer:
C
Reasoning:
You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)
Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?
Answers
Answer:
The milk is priced at $1.74/gallon
Step-by-step explanation:
If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.
$8.70
Then the unit price for the milk is ---------- = $1.74 per gallon
5 gal
Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09
Answers
Answer:
The answer is B, $0.26
Step-by-step explanation:
$48 * 12 =$576
- 12 months in a year
$223,050 / $100 =$2230.50
$576 / $2230.50 =$0.26
GEOMETRY PROOFS!
Given: RA≅RE; EC≅AC
Prove: REC ≅ RAC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Answers
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
Additional comment:-
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
also read similar questions: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..
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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points
Answers
Answer:
y = -2x + 1
Step-by-step explanation:
A parallel line has the same slope but different y-intercept.
Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.
Then make it from point slope form to slope intercept.
Hope this helps you. :)
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
Answers
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).
Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?
Answers
Answer:
1 1/12
Step-by-step explanation:
You take 2 3/4 and subtract it by 1 2/3
Make them into improper fractions 11/4 - 5/3
you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator
you get 33/12 - 20/12 and get 13/12
then make it a mixed number
hope this helps :)
Estimate a 15% tip a dinner bill of $47.64 by rounding a bill amount to the nearest ten dollars
Answers
Answer:
$7.14
Step-by-step explanation:
$47.64 to $47.6
47.6*15/100
=$7.14
(I maybe wrong though lol)
GEOMETRY PROOF!!!! please do fast as possible
Answers
hi,please quit school instead
. The marching band packed 3060 сans of juice into boxes for a
band competition. Each box holds 18 cans. How many boxes did
the band members have to carry?
Answers
Answer: 170 boxes
Step-by-step explanation:
You simply divide 3060 by 18.
The graph of f(x) and g(x) are shown below
If f(x) = (x + 7)?, which of the following is g(x), based on the translation?
O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2
Answers
Answer:
c
Step-by-step explanation:
I put a picture
—PLEASE HELP
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
[tex]side \times side[/tex][tex]x \times x[/tex][tex] {x}^{2} [/tex]Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
[tex] {x}^{2} = \dfrac{1}{4} [/tex][tex]x = \sqrt{ \dfrac{1}{2} \times \dfrac{1}{2} } [/tex][tex]x = \dfrac{1}{2} \: \: feet[/tex]It's time to find the volume of cube that is ~
[tex](side) {}^{3} [/tex]So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
[tex] { \bigg(\dfrac{1}{2} \bigg) }^{3} [/tex][tex] \dfrac{1}{8} \: \: ft {}^{3} [/tex]Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
Step-by-step explanation:
side=Base=x
Area=side * side
Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
Substitute values in the above formula:
[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x
[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
x=[tex]\frac{1}{2}[/tex]ft
Now,
The formula of volume of Cube:
Volume=x*x*x
Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:
Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft
Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]
If you need to ask any questions, please let me know.500 dollars divided by 3:7
Answers
Answer:
150:350
Step-by-step explanation:
3:7 = 3+7=10
500:10=50
3x50=150
7x50=350
150:350
Hope this helps :)
500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.
2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
Answers
Answer:
the question is not clear
Step-by-step explanation:
wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
Answers
home within our geographic footprint.
Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.
Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
this fraction cannot be reduced
Use the transitive property of equality to finish the equations
Answers
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x