Question

julia and carter are personal trainers. they each charge a one - time consultation fee, and an hourly rate. julia charges a $12 consultation fee, plus $18 per hour. carter charges a $36 consultation fee, plus $6 per hour. write an equation that represents y, the total amount julia charges her clients after the consultation fee and x hours of personal training.

Explanation:

Step1: Identify fixed and variable costs

Fixed fee: $\$12$, hourly rate: $\$18$ per hour ($x$ hours)

Step2: Build total cost equation

Total cost $y$ = fixed fee + (hourly rate $\times$ hours)
$y = 12 + 18x$

Answer:

$y = 18x + 12$