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)

Question

The plans would cost the same at blank visits

Answer 1

Let's denote the number of visits as \( x \).

1. For the first plan, the total cost for \( x \) visits is: \[ \text{Cost}_{\text{Plan 1}} = 10x \]

2. For the second plan, the total cost for \( x \) visits is: \[ \text{Cost}_{\text{Plan 2}} = 30 + 4x \]

We need to find the number of visits \( x \) where both plans cost the same: \[ 10x = 30 + 4x \]

Now, we can solve for \( x \).

First, subtract \( 4x \) from both sides: \[ 10x - 4x = 30 \] \[ 6x = 30 \]

Now, divide both sides by 6: \[ x = 5 \]

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