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
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.