Question

The cost to rent a truck from a local home improvement store is $19 for the first 75 minutes plus $0.33 for each minute over 75 minutes. Write a linear function that models the cost to rent a truck, where x is the number of minutes over 75 minutes. Then use your model to determine the cost to rent a truck for 2 hr. Do not round any values.

Answer 1

$33.85

Step-by-step explanation:

Given that,

Cost from a local home improvement store, Fixed cost = $19

Variable cost = $0.33 per unit

Let x be the number of minutes over 75 minutes.

Therefore, the cost function is as follows:

Total cost = Fixed cost + Variable cost

= $19 + $0.33x

Cost to rent for 2 hours:

x = 120 minutes - 75 minutes

= 45 minutes

At x = 45 minutes, the cost will be:

= $19 + ($0.33 × 45)

= $19 + $14.85

= $33.85