Question

a jet skies 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

Answer 1

you will first have to make an equation for both companies.
lets call the first company " SC1 (ski company 1) and the second one SC2 ( ski company 2).
we use " x " for number of hours
SC1's equation would be: \[24 + 2.25x\]
SC2's equation would be: \[23 + 2.50x\]
now on your graphing calculator type for
\[Y1= 24 + 2.25x\] and
\[Y2 = 23 + 2.50x\]

Once you've filled these in, go to the graph and adjust your window if needed. Click the 2ND button followed by the "TRACE" button and select option #5 : intersect.
It will ask for 1st curve, just click "enter"
Then it will ask for 2nd curve, just enter again.
It will then ask: Guess? Click enter once more and it will show you the answer for x and y.
x being the amount of hours.