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
10x=32−6x ; x=2
10 x equals 32 minus 6 x ; x equals 2
10x=32+6x ; x=4
10 x equals 32 plus 6 x ; x equals 4
10=32+6x ; x=−3
10 equals 32 plus 6 times x ; x equals -3
10x=32+6x ; x=8
To find the number of visits for which the cost of the two plans would be equal, we can set up an equation.
Let x be the number of visits.
For the first option, the cost is $10 per visit: 10x.
For the second option, the cost is $32 per month, plus $6 per visit: 32 + 6x.
So, we set up the equation:
10x = 32 + 6x
To solve for x, we need to isolate the x term on one side of the equation.
Subtract 6x from both sides:
10x - 6x = 32 + 6x - 6x
Simplifying:
4x = 32
Now, we can solve for x by dividing both sides by 4:
(4x)/4 = 32/4
Simplifying:
x = 8
So, it would take 8 visits for the cost of the two plans to be equal.