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?\\(\bigcirc\\) \\(c(x) = 3x + 3\\)\\(\bigcirc\\) \\(c(x) = 6x + 3\\)\\(\bigcirc\\) \\(c(x) = 7x + 3\\)\\(\bigcirc\\) \\(c(x) = 8x + 3\\)

Explanation:

Step1: Find hourly skating fee

Let $h$ = hourly fee. Total cost = hourly fee×hours + skate rental.
$21 = 3h + 3$
Subtract 3 from both sides: $21 - 3 = 3h$
$18 = 3h$
Divide by 3: $h = \frac{18}{3} = 6$

Step2: Build cost function

Cost $c(x)$ = hourly fee×$x$ + rental fee.
$c(x) = 6x + 3$

Answer:

$\boldsymbol{c(x) = 6x + 3}$ (Option: $\boldsymbol{ c(x) = 6x + 3 }$)