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sergey [27]
3 years ago
6

Write a function rule for the table.

Mathematics
2 answers:
GalinKa [24]3 years ago
6 0

Answer:

p=5.75 h

Step-by-step explanation:

Let hours worked be h and p represents the pay

To find function rule, lets find the difference between the pay divide by difference in hours

\frac{23- 11.50}{4-2} =5.75

\frac{34.50-23}{6-4} =5.75

There is a constant difference, so we use linear equation y=mx+b

Use h for x and p for y. slope m is 5.75

p=5.75h +b

Now we find out b. use the first row. h=2, p=11.5

11.50=5.75(2) +b

11.50=11.50 +b

Subtract 11.50 on both sides

b=0

So function rule is

p=5.75 h

QveST [7]3 years ago
5 0
The correct response is d)p=5.75h
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Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

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Step-by-step explanation:

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Read 2 more answers
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