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.

Question

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)

• 10х = 32 + 6x; x = 8

• 10 = 32 + 6x ; x =-3

• 10х = 32 + 6x; x = 4

О 10х = 32 - 6x ; x = 2

GPT-4o mini · Answer

To find the point where the costs of the two options are equal, we can set up an equation based on the information provided.

Let $x$ be the number of visits.

The cost for the first option (paying $10 per visit) is: $10 x$
The cost for the second option (paying $32 per month and $6 per visit) is: $32 + 6 x$

To find the number of visits where the costs are equal, we set the two expressions equal to each other: $10 x = 32 + 6 x$

Now, we can solve for $x$ :

Subtract $6 x$ from both sides: $10 x - 6 x = 32$ $4 x = 32$
Divide both sides by 4: $x = 8$

So, the solution to the equation is $x = 8$ . This means that after 8 visits, the costs of both plans will be equal.

Therefore, the correct answer is: 10x = 32 + 6x; x = 8.