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 blank visits.

Answer 1

To find the number of visits at which the cost of both plans is the same, we need to set up equations for both plans based on the number of visits (let's call it \( v \)).

1. **First Plan**: The cost is \( 10v \) (since it costs $10 per visit).
2. **Second Plan**: The cost is \( 30 + 4v \) (since it costs $30 per month and $4 per visit).

We want to find the value of \( v \) for which these costs are equal:

\[
10v = 30 + 4v
\]

Now, let's solve for \( v \):

1. Subtract \( 4v \) from both sides:
\[
10v - 4v = 30
\]
\[
6v = 30
\]

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

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