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.
A. 10x=32−6x ; x=2
B.10=32+6x ; x=−3
C. 10x=32+6x ; x=4
D. 10x=32+6x ; x=8
The correct equation would be 10x = 32 + 6x, where x is the number of visits.
To solve for x, we can simplify the equation by subtracting 6x from both sides:
10x - 6x = 32
4x = 32
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal. The correct answer is D.
Haha, looks like we have a math problem on ice! Let's solve it together:
We want to find the number of visits (let's call it x) that will make the cost of the two plans equal.
For the first option, it's $10 per visit, so the equation for its cost would be 10x.
For the second option, it's $32 per month plus $6 per visit. So the equation would be 32 + 6x.
To find the number of visits that will make the costs equal, we set the two equations equal to each other:
10x = 32 + 6x
Now we can simplify:
10x - 6x = 32
4x = 32
Dividing both sides by 4:
x = 8
So, the correct answer is D. It would take 8 visits for the cost of the two plans to be equal.
Haha, looks like it's time to put on some skates and have some fun on the ice!
The correct equation to show the number of visits at which the cost of the two plans is equal is:
10x = 32 + 6x
To solve this equation, we need to isolate the variable x. Let's start by subtracting 6x from both sides of the equation:
10x - 6x = 32 + 6x - 6x
4x = 32
Next, we divide both sides of the equation by 4 to solve for x:
4x/4 = 32/4
x = 8
Therefore, the correct answer is D. 10x = 32 + 6x ; x = 8.
To solve this problem, we need to set up an equation that represents the cost of each plan, and then find the value of x that makes the costs equal.
For the first option, the cost per visit is $10. So, the equation for the first option is:
Cost of first option = 10x, where x is the number of visits.
For the second option, the cost per visit is $6, in addition to the fixed monthly cost of $32. So, the equation for the second option is:
Cost of second option = 32 + 6x, where x is the number of visits.
We want to find the number of visits at which the costs for both options are equal. So, we set up the equation:
10x = 32 + 6x
Now, we solve for x:
10x - 6x = 32
4x = 32
x = 32/4
x = 8
Therefore, the correct answer is D. 10x = 32 + 6x ; x = 8.