At Mr. Vid's Rentals you can join his VID for a monthly membership fee of $30. Club members pay only $.85 to rent each movie. If you are not a member of the VID Club, the movies rent for $2.25 each. How many vidoes would you have to rent each month to make a membership with the investiment?

Please help me...I need a formula

I think the formula would be 30=2.25x

so there are 13 vidoes that you would have to rent to get to 30 dollars

i got 30 .85= 29.75
so they need about 35 vidoes...i am so confused...please help me

To determine how many videos you would have to rent each month to make a membership worth the investment, we can set up an equation.

Let's denote the number of videos you rent each month as "x".

If you are a member of the VID Club, you pay $0.85 per video, so the cost of renting "x" videos as a member would be 0.85x.

If you are not a member, you pay $2.25 per video, so the cost of renting "x" videos without a membership would be 2.25x.

Since the question asks how many videos you would need to rent each month to make the membership worth the investment, the equation would be:

0.85x = 30 + 2.25x

In this equation, we add the monthly membership fee ($30) to the cost of renting "x" videos without a membership (2.25x).

Now, we can solve the equation for "x" to find the number of videos you would need to rent each month to make the membership worth the investment.

0.85x - 2.25x = 30

-1.40x = 30

Dividing both sides of the equation by -1.40:

x = 30 / -1.40

x ≈ 21.43

So, you would need to rent approximately 21.43 videos each month to make the membership worth the investment. Since you cannot rent a fractional number of videos, you would need to round up to the nearest whole number. Therefore, you would need to rent at least 22 videos each month.