Question

Rink A charges 10 dollars per session for ice skating classes. Rink B charges 30 dollars to join but only charges 5 dollars per session. For what number of sessions is the cost the same?

A. 4 sessions

B. 6 sessions

C. 8 sessions

D. 10 sessions

Answer 1

The cost is the same for Rink A and Rink B after 6 sessions.

Step-by-step explanation:

To find the number of sessions for which the cost is the same for Rink A and Rink B, we need to set up an equation and solve for the number of sessions. Let's define the cost of Rink A as a function of the number of sessions, A(x), and the cost of Rink B as a function of the number of sessions, B(x).

A(x) = 10x, where x represents the number of sessions for Rink A.

B(x) = 30 + 5x, where x represents the number of sessions for Rink B.

Now, we can set up the equation:

10x = 30 + 5x

Simplifying the equation, we get:

5x = 30

x = 6

Therefore, for 6 sessions, the cost is the same for both Rink A and Rink B.