A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.

The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

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