the ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. gillian rented…

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?\no c(x)=3x + 3\no c(x)=6x + 3\no c(x)=7x + 3\no c(x)=8x + 3

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?\no c(x)=3x + 3\no c(x)=6x + 3\no c(x)=7x + 3\no c(x)=8x + 3

Answer

Explanation:

Step1: Let the hourly - fee be $h$.

The cost function $c(x)$ has the form $c(x)=hx + 3$ (where $3$ is the skate - rental fee).

Step2: Substitute $x = 3$ and $c(3)=21$ into the function.

We get $21=h\times3 + 3$.

Step3: Solve the equation for $h$.

First, subtract 3 from both sides: $21−3 = 3h$, so $18 = 3h$. Then divide both sides by 3: $h=\frac{18}{3}=6$.

Step4: Write the cost function.

The cost function $c(x)$ is $c(x)=6x + 3$.

Answer:

B. $c(x)=6x + 3$