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

For the first plan, which costs $10 per visit, the total cost would be: \[ \text{Cost of Plan 1} = 10x \]

For the second plan, which costs $30 per month and $4 per visit, the total cost would be: \[ \text{Cost of Plan 2} = 30 + 4x \]

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

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

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

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

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