Question

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)
The plans would cost the same at
visits

Answer 1

Let \( x \) represent the number of visits.

For the first plan, the cost is:
\[
C_1 = 10x
\]

For the second plan, the cost is:
\[
C_2 = 30 + 4x
\]

To find the number of visits where both plans cost the same, we can set the two cost equations equal to each other:
\[
10x = 30 + 4x
\]

Now, we will solve for \( x \):
1. Subtract \( 4x \) from both sides:
\[
10x - 4x = 30
\]
\[
6x = 30
\]

2. Divide both sides by 6:
\[
x = \frac{30}{6}
\]
\[
x = 5
\]

Therefore, the plans would cost the same at **5 visits**.