Question

Ben earns $9 per hour and $6 for each delivery he makes.He wants to earn more than $155 in an 8 hour work day.What is the least number of deliveries he must make to reach his goal?

Answer 1

Ben must make at least 14 deliveries to reach his goal.

Explanation:

The problem states that Ben earns $9 per hour and $6 for each delivery he makes. So his daily earnings can be modeled by the following function.

`E(h,d) = 9h + 6d`,

in which h is the number of hours he works and d is the number of deliveries he makes.

He wants to earn more than $155 in an 8 hour work day.What is the least number of deliveries he must make to reach his goal?

This question asks what is the value of d, when E = $156 and h = 8. So:

`E(h,d) = 9h + 6d`

`156 = 9*8 + 6d`

`156 = 72 + 6d`

`6d = 84`

`d = (84)/(6)`

d = 14

Ben must make at least 14 deliveries to reach his goal.