Question

a florist charges $12.00 for delivery plus an additional $1.50 per mile from the flower shop. the florist pays the delivery driver $0.75 per mile and $4.00 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.
$f(x) = \square$
(simplify your answer. do not factor. use integers or decimals for any numbers in the equation. do not include the $ symbol in your answer.)

Explanation:

Step1: Calculate total revenue

The florist's total revenue from delivery is the fixed charge plus the per-mile charge:
$12 + 1.50x$

Step2: Calculate total costs

The florist's total costs are the per-mile driver pay plus fixed gas cost:
$4 + 0.75x$

Step3: Compute profit (earnings)

Earnings equal revenue minus costs:
$(12 + 1.50x) - (4 + 0.75x)$

Step4: Simplify the expression

Combine like terms:
$12 - 4 + 1.50x - 0.75x = 8 + 0.75x$

Answer:

$f(x)=8 + 0.75x$