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Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour. The amount of money that Andrew earns varies depending on the number of hours above 30 hours that he works. Write the function for the four inputs listed, 32, 36, 38,40

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30 x 4 = 120 + 2 x 5 = 10 
for 32 hours = $130

30 x 4 = 120 + 5 x 6=30
for 36 hours = $150

30 x 4 = 120 + 5 x 8= 40
for 38 hours =$ 160 

30 x 4 = 120 + 5 x 10 =50
for 40 hours = $170

Answer:

Andrew’s total weekly wages = fixed wages for 30 hours + additional wages at $5 per hour. Andrew will earn $4/hour × 30 hours = $120 for the first 30 hours, so his total wages can be calculated as

w

=  

$120 + 5 × number of extra hours

w

=  

120 + 5(h − 30).

Here, w is a function of h, so w = f(h) = 120 + 5(h − 30). The function that gives Andrew’s wages is f(h) = 120 + 5(h − 30).

Step-by-step explanation:

This is the exact answer so switch it up a bit! I'm sorry this was the answer to part A, the answer to part B is

32.)  

f(32) = 120 + 5(32 − 30)

36.)

f(32) = 120 + 5(36 − 30)

38.)

f(32) = 120 + 5(38 − 30)

40.)

f(32) = 120 + 5(40 − 30)

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