APPLY 36. Model With Mathematics 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? © MP.4
PEDAL BOARD
RENTAL
$12.50/hour
plus one-time
service fee

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.