Question

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour. (1 point)
A• 2
B• 8
C• 4
D•3

Answer 1

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

$y=24.00+2.25x$ ---------> equation $1$

Second Jet Sky Company

$y=23.00+2.50x$ ---------> equation $2$

we know that

To find the number of hours for which the costs are the same

equate equation $1$ and equation $2$

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is $(4,33)$

That means

For $x=4\ hours$

the cost of the rent is $y=\ 33$ in both companies

therefore

the answer is

$4\ hours$