Question

A florist charges $5.00 for delivery plus an additional $1.00 per mile from the flower shop. The florist pays the delivery driver $0.75 per mile and $3.50 for gas per
delivery. If x is the number of miles a delivery location is from the flower shop, what expression models the amount of money the florist earns for each delivery?
Find the function that models the amount of money the florist earns for each delivery.

Answer 1

The florists charges and delivery are illustrations of linear functions

The amount made by the florist per delivery is y = 1.5 + 0.25x

How to determine the functions

For the charges, we have:

• Delivery = $5.00
• Rate = $1.00 per mile

Represent the cost with y, and the number of miles with x.

The function that represents the amount the florist made is:

y = 5 + x

For the delivery, we have:

• Gas = $3.50
• Rate = $0.75 per mile

The function that represents the delivery is:

y = 3.5 + 0.75x

The amount made by the florist per delivery is then calculated as:

y = 5 - 3.5 + x - 0.75x

y = 1.5 + 0.25x

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