Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service charge?
PEDAL BOARD
RENTAL
$12.50/hour. plus one-time service fee
If y is the total cost of the rental, then models the cost of renting a pedal board for × hours
(Type an equation. Type your answer in point-slope form. Use integers or decimals for any numbers in the equation. Do not include the $ symbol in your answer.)
Let's assume that the one-time service fee is s dollars.
The equation in point-slope form that models the cost of renting a pedal board for x hours can be written as:
y - 93.75 = 12.50(x - 5.5)
Now, let's solve for the one-time service fee:
y - 93.75 = 12.50(x - 5.5)
Since y represents the total cost and includes the one-time service fee, we can substitute y with (12.50x + s):
12.50x + s - 93.75 = 12.50(x - 5.5)
12.50x + s - 93.75 = 12.50x - 68.75
s = -25
Therefore, the one-time service charge is $25.