Question

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

c(x) = 3x + 3
c(x) = 6x + 3
c(x) = 7x + 3
c(x) = 8x + 3

Answer 1

Answer:

C(x) =6x+3 is correct

Step-by-step explanation:

C(3)=6(3)+3

=18+3

=21

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Answer 2

The equation represents the cost, C(x), of the ice skating as a function of x, the number of hours of skating is C(x) = 6x + 3

Solution:

Rent of skates for day = $3

Let "x" be the number of hours of skating

Gillian rented skates and skated for 3 hours and was charged $21

Total charge including rent = 21

Total charge excluding rent = 21 - 3 = $ 18

So, charge for 3 hours = 18

$\text{ Charge for 1 hour }= \frac{18}{3} =6$

Thus, charge for "x" hours = 6x

So, total cost for x hours including rent = 6x +3

Let C(x) denotes the total cost

C(x) = 6x + 3

Thus the equation represents the cost, c(x), of the ice skating as a function of x, the number of hours of skating is C(x) = 6x + 3

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