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

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)
= TOOLS
The plans would cost the same at visits.

GPT-4o mini · Answer

Let's denote the number of visits as $ x $. **Cost of Plan 1:** This plan costs $10 per visit, so for $ x $ visits, the total cost is: $$ \text{Cost of Plan 1} = 10x $$ **Cost of Plan 2:** This plan costs $30 per month, plus $4 per visit. Therefore, for $ x $ visits, the total cost is: $$ \text{Cost of Plan 2} = 30 + 4x $$ We want to find the number of visits $ x $ at which the costs of both plans are equal: $$ 10x = 30 + 4x $$ Now, we can solve for $ x $: 1. Subtract $ 4x $ from both sides: $$ 10x - 4x = 30 $$ $$ 6x = 30 $$ 2. Divide both sides by 6: $$ x = 5 $$ Thus, the two plans would cost the same at **5 visits**.