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 charged $21. Which equation represents the cost, c(x), of the ice skating as a function of x, the number of hours of skating.

Answer 1

7 hours

Explanation:

$21 divided by 3 equals 7 hours

Answer 2

`C(x)=6x+3`

Explanation:

Rent of skates for day =$3

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

So, Total charge including rent = 21

So , Total charge excluding rent = 21-3=$18

So, charge for 3 hours = 18

So, Charge for 1 hour =
`(18)/(3) =6`

So, cost for x hours = 6x

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

Let C(x) denotes the total cost

So,
`C(x)=6x+3`

Hence 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`