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

Question

Write a function that gives Andrew’s total wages when he works more than 30 hours. Use the variables w for wages and h for hours.

Answer 1

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

 

w = 120 + 5(h - 30). 

 

So, if he works 35 hours, he will earn:

 

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

 

If he works 42 hours, he will earn:

 

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

 

I hope this helps!

 

Maria Tilmos

Answer 2

We combine the first 30 hours with the over 30 hours.

 

First 30 hours  -----> w = 4h

 

Over 30 hours -----> w = 5h

 

Add up the wages.  This means combine the functions.

 

 

w = 4h + 5h

w = 9h