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.(1 point)

10=32+6x ; x=−310 equals 32 plus 6 x ; x equals negative 310x=32+6x ; x=810 x equals 32 plus 6 x ; x equals 810x=32−6x ; x=210 x equals 32 minus 6 x ; x equals 210x=32+6x ; x=4

3 answers

10 = 32 + 6x
10 - 32 = 6x
-22 = 6x
x = -22/6
x = -3.67

It would take approximately 4 visits for the cost of the two plans to be equal.
wrong
Apologies for the mistake. Let's correct it.

Let's represent the number of visits as "x". The equation for each plan's total cost would be:

Plan 1: 10x
Plan 2: 32 + 6x

Setting the two equations equal to each other, we have:

10x = 32 + 6x
Subtracting 6x from both sides, we get:
4x = 32
Dividing by 4 on both sides, we have:
x = 8

It would take 8 visits for the cost of the two plans to be equal. Thank you for your patience.