A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4
per visit. How many visits would make the cost of both plans the same? (1 point)
To find how many visits would make the cost of both plans the same, we need to set up an equation.
Let's say the number of visits is represented by x.
For the first plan, the cost is $10 per visit. Therefore, the total cost for x visits would be 10x.
For the second plan, the cost is $30 per month plus $4 per visit. Since we are interested in finding when the costs are equal, we can assume the number of visits is equal to the number of months. Therefore, the total cost for x visits would be 30 + 4x.
Setting up an equation:
10x = 30 + 4x
Now, we can solve for x.
10x - 4x = 30
6x = 30
Dividing both sides by 6:
x = 5
Therefore, 5 visits would make the cost of both plans the same.
To find the number of visits that would make the cost of both plans the same, we can set up an equation.
Let's assume x represents the number of visits.
For the first plan, the cost would be $10 per visit, so the equation would be:
Cost of plan 1 = 10x
For the second plan, the cost would be $30 per month plus $4 per visit, so the equation would be:
Cost of plan 2 = 30 + 4x
To make the cost of both plans the same, we can set up the equation:
10x = 30 + 4x
Now, let's solve for x.
Subtract 4x from both sides:
10x - 4x = 30 + 4x - 4x
6x = 30
Divide both sides by 6:
(6x)/6 = 30/6
x = 5
Therefore, 5 visits would make the cost of both plans the same.