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?

Answer 1

c(x) = 6x + 3

$6 per hr..and $3 for the skates

check..
c(x) = 6x + 3
he skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
.so it is c(x) = 6x + 3

Answer 2

The equation represents the cost, c(x), of ice skating as a function of x is
`c(x)=6x+3`.

Explanation:

Consider the provided information.

Let R be the per hour rate of the using the skating rink.

It is provided that $3 is the rent of skates for the day.

If Gillian rented skated and paid $21 after 3 hours of skating, this can be represented as:

`21=3R+3`

`3R=18`

`R=(18)/(3)=6`

Therefore, the hourly fee for skating is $6.

Now, write the equation represents the cost c(x) of the ice skating as a function of x.

Total cost = Number of hours × Hourly fee + Rent skates for the day.

Replace total cost with c(x), Number of hours with x, Hourly fee with 6 and rent skates of the day with 3.

Thus the required equation is:

`c(x)=6x+3`

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