Question

To paint a house, a painting company charges a flat rate of $500 for

supplies, plus $50 for each hour of labor.
a. How much would the painting company charge to paint a house that
needs 20 hours of labor? A house that needs 50 hours?​

Answer 1

$1500 and $3000

Explanation:

1) This is a function to be modelled. A flat rate ($500) is fixed, while the $50 is variable. For each job has its hours. Calling it as P, for Price:

`P(x)=50x+500`

a) How much would the painting company charge to paint a house that

needs 20 hours of labor?

`P(20)=50(20)+500 \Rightarrow P(20)=\$1500`

b) A house that needs 50 hours?​

Similarly, we can calculate for P(50)

`P(50)=50(50)+500 \Rightarrow P(50)=\$3000`

Answer 2

Answer: For 20 hours it would be $1,500 and for 50 hours it would be $3,000.

Explanation:

The equation for this problem would be y=50x+500.

Y is the total charge and x is the amount of hours. Plug in 20 and 50, and then you have your answer.