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 \( x \) be the number of visits.

For the first plan, the cost is \( 10x \).

For the second plan, the cost is \( 30 + 4x \).

To find the number of visits where both plans cost the same, set the two equations equal to each other:

\[
10x = 30 + 4x
\]

Now, solve for \( x \):

1. Subtract \( 4x \) from both sides:

\[
10x - 4x = 30
\]

2. This simplifies to:

\[
6x = 30
\]

3. Divide both sides by 6:

\[
x = 5
\]

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