Question

A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?

Answer 1

16 deliveries

Explanation:

• We can model the situation using a linear inequality.
• Since we're told that the driver makes $10 in tips for each delivery.
• Thus, this is the slope.

• Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made.
• Thus, this is the y-intercept

• Since he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238.
• Thus, we can use the following equation to find:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.