a jet ski company charges a flat fee of $20.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.75 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.

Question

spicytaco1 · Answer

@Lollygirl217

spicytaco1 · Answer

my answer is 2 hours

anonymous · Answer

I'll try to help you with this.

Say there are 2 jetskis,

Jetski A

and 

Jetski B

anonymous · Answer

jetski a charges $20.00 just to rent it out, plus 2.25 dollars per hour rented.

That can be rewritten as an equation in 

y = mx + b form

where m = 2.25

and b = 20.00

the equation then becomes

y = 2.25x + 20.00

anonymous · Answer

Jetski b charges 23.00 dollars just to rent it out, and 2.75 dollars per hour rented

anonymous · Answer

That can be rewritten in the form y = mx + b where m = 2.75 and b = 23.00

The equation then becomes

y = 2.75x + 23.00

anonymous · Answer

So the equation for Jetski A is:

y = 2.25x + 20.00


The equation for Jetski B is:

y = 2.75x + 23.00

anonymous · Answer

Your instructions are:

a jet ski company charges a flat fee of $20.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.75 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.

anonymous · Answer

Now you can use a graphing calculator like Desmos. It is an online graphing calculator, just search it on google.

Insert both the equations, and find the point where the 2 equations cross each other.

Good luck @Spicytaco1 !