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 each month, and $6 per visit. Write an equation to show the number of visits it would take for the cost of the two plans to be equal. (1 point)

Question

Responses

10=32x+6
10 is equal to 32 x plus 6

10x=32+6x
10 x is equal to 32 plus 6 x

10=32x−6
10 is equal to 32 x minus 6

10x=32−6x
10 x is equal to 32 minus 6 x

Answer 1

To find the number of visits (let's call it \( x \)) where the cost of the two plans is equal, we can set up equations for each plan.

1. First option: $10 per visit \[ \text{Cost}_1 = 10x \]

2. Second option: $32 each month + $6 per visit \[ \text{Cost}_2 = 32 + 6x \]

We want to find the point where the costs of the two options are equal: \[ 10x = 32 + 6x \]

This equation represents the number of visits at which the costs of both plans are the same.

Among the options provided, the correct one that reflects the above formulation is:

10x = 32 + 6x

(10 x is equal to 32 plus 6 x).