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. now, consider the other personal trainer, carter. write an equation that represents the total amount carter charges his clients, y, after the consultation fee and x hours of personal training.

Explanation:

Step1: Identify fixed and variable costs

Fixed (consultation) fee: $\$36$, variable (hourly) rate: $\$6$ per hour ($x$ hours)

Step2: Build total cost equation

Total cost $y$ = fixed fee + (hourly rate × hours)
$y = 36 + 6x$

Answer:

$y = 6x + 36$