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)
Responses
10x=32+6x ; x=8
10 x equals 32 plus 6 x, ; , x equals 8
10=32+6x ; x=−3
10 equals 32 plus 6 x, ; , x equals negative 3
10x=32+6x ; x=4
10 x equals 32 plus 6 x, ; , x equals 4
10x=32−6x ; x=2
The correct equation to set the costs of the two plans equal to each other is:
10x = 32 + 6x
where x is the number of visits.
To solve for x, we need to isolate it on one side of the equation. Let's subtract 6x from each side:
10x - 6x = 32
Simplifying:
4x = 32
Now we can solve for x by dividing both sides by 4:
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal.
10x = 32 - 6x ; x = 2
To find the number of visits it would take for the cost of the two plans to be equal, we can set up an equation. Let x represent the number of visits.
For the first option, the cost is $10 per visit. So, the cost for x visits would be 10x.
For the second option, there is a monthly fee of $32, and an additional $6 per visit. So, the cost for x visits would be 32 + 6x.
We can set up the equation:
10x = 32 + 6x
To solve this equation, we want to isolate the variable x on one side. We can do this by subtracting 6x from both sides:
10x - 6x = 32
Simplifying:
4x = 32
Next, we want to solve for x by dividing both sides of the equation by 4:
4x/4 = 32/4
Simplifying:
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal.