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Mathematics, 22.06.2019 21:00 4300252063

Parabola skate rental rents skate boards for $4.50 an hour with a rental fee of $35. arc of hawk skate rental rents skate boards fofr $5.25 per hour with a rental fee of $25.

Answers

ansver
Answer from: tiaragirl923

\bold{13\dfrac{1}{3}\ \text{hours}}

Step-by-step explanation:

Parabola Skate Rental:   4.50x + 35

Arc Hawk Skate Rental:  5.25x + 25


If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          subtracted 4.50x from both sides

0.75x = 10           subtracted 25 from both sides          

     x=\dfrac{1000}{75}        divided both sides by 0.75

     x = 13\dfrac{1}{3}        simplified the fraction

ansver
Answer from: joseandpauline

It will cost the same for both facilities when they skate for 13.33 hours. The total cost will be $95

Step-by-step explanation:

y = 4.50x + 35

y = 5.25x + 25

Use substitution to solve:

4.50x + 35 = 5.25x + 25

-4.50x           -4.50x        

             35 = 0.75x + 25

            -25                -25

             10  = 0.75x

        ÷0.75  ÷0.75  

         13.33 = x

y = 4.50(13.33) + 35

  = 60 + 35

  = 95

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