A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x
as your variable.
My thing says that answer is wrong
Apologies for the error. Let's try solving it again:
For the first plan, the cost per visit is $8. Therefore, the total cost for x visits would be 8x.
For the second plan, the cost per visit is $2 and the cost per month is $40. Therefore, the total cost for x visits and the monthly fee would be 2x + 40.
To find the number of visits per month that it would take for the two plans to be equal, we can set the two equations equal to each other:
8x = 2x + 40
Subtracting 2x from both sides:
8x - 2x = 2x + 40 - 2x
Simplifying the equation:
6x = 40
Dividing both sides by 6:
x = 40 / 6
Simplifying the fraction:
x = 20/3
So, the correct equation to show the number of visits per month that it would take for the two plans to be equal is x = 20/3.
To find the number of visits per month when the two plans would be equal, we can set up an equation. Let's assume that the number of visits per month is represented by the variable x.
For the first plan, the cost per visit is $8. So the total cost for x visits would be 8x.
For the second plan, the cost per month is $40, and an additional $2 per visit. So the total cost for x visits would be 40 + 2x.
To find the point where the costs are equal, we can set up the equation:
8x = 40 + 2x
Now let's solve this equation for x:
8x - 2x = 40
6x = 40
x = 40/6
x = 6.67
So, it would take approximately 6.67 visits per month for the two plans to be equal in cost.
For the first plan, the cost per visit is $8. Therefore, the total cost for x visits would be 8x.
For the second plan, the cost per visit is $2 and the cost per month is $40. Therefore, the total cost for x visits and the monthly fee would be 2x + 40.
To find the number of visits per month that it would take for the two plans to be equal, we can set the two equations equal to each other:
8x = 2x + 40
Simplifying the equation by subtracting 2x from both sides:
8x - 2x = 40
Bringing like terms together:
6x = 40
Dividing both sides by 6:
x = 40 / 6
Simplifying the fraction:
x = 20/3
Hence, the equation to show the number of visits per month that it would take for the two plans to be equal is x = 20/3.