A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x

Question

as your variable.(2 points)

[ ] mulitaply = [ ] + [ ]

Answer 1

To set up the equation, we need to express the total cost for both plans in terms of the number of visits (x).

1. For the first plan, the total cost is: \[ 8x \] (where \(x\) is the number of visits).

2. For the second plan, the total cost is: \[ 40 + 2x \] (where 40 is the monthly fee and \(2x\) is the cost per visit).

To find the number of visits at which the costs are equal, we set the two expressions equal to each other: \[ 8x = 40 + 2x \]

Now we can arrange it into the desired format.

• In your requested format: \([ \ ] \text{ multiply } = [ \ ] + [ ]\): \[ [8] \text{ multiply } = [40] + [2x] \]

Thus, the completed equation is: \[ 8x = 40 + 2x \]