Q:

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• 2B• 8C• 4D•3

Accepted Solution

A:
Letx----------> charge per hour to rent a jet sky in dollarsy----------> the total cost to rent a jet sky in dollarswe know thatFirst Jet Sky Company[tex]y=24.00+2.25x[/tex] ---------> equation [tex]1[/tex]Second Jet Sky Company[tex]y=23.00+2.50x[/tex] ---------> equation [tex]2[/tex]we know thatTo find the number of hours for which the costs are the sameequate equation [tex]1[/tex] and equation [tex]2[/tex]The intersection both graphs is the solution of the problemusing a graph toolsee the attached figure   the intersection point is [tex](4,33)[/tex]That meansFor [tex]x=4\ hours[/tex]the cost of the rent is [tex]y=\$33[/tex] in both companiesthereforethe answer is[tex]4\ hours[/tex]