An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.

A. 10x=32−6x ; x=2

B.10=32+6x ; x=−3

C. 10x=32+6x ; x=4

D. 10x=32+6x ; x=8

1 answer

The correct equation would be 10x = 32 + 6x, where x is the number of visits.

To solve for x, we can simplify the equation by subtracting 6x from both sides:

10x - 6x = 32

4x = 32

x = 8

Therefore, it would take 8 visits for the cost of the two plans to be equal. The correct answer is D.