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 equa
Let's assume that x is the number of visits per month.
For the first plan, the cost is $8 per visit. Therefore, the equation for the cost of the first plan is:
Cost of first plan = 8x
For the second plan, the cost is $40 per month, and $2 per visit. Therefore, the equation for the cost of the second plan is:
Cost of second plan = 40 + 2x
To find the number of visits per month that it would take for the two plans to be equal, we need to set the two equations equal to each other and solve for x:
8x = 40 + 2x
6x = 40
x = 6.67
Therefore, it would take approximately 6.67 visits per month for the two plans to be equal in cost.
Two pumps are filling large vats of liquid. One vat is empty and the pump is filling it at a rate of 6 gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid
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 palns the same
Well, well, well, let's get our math hats on and solve this problem with a dash of humor!
For the first plan, we have a fixed cost of $8 per visit. So, let's say the number of visits per month is represented by 'x', then the equation for the first plan is simply 8x. Easy peasy!
Now, onto the second plan, which is a bit trickier. We have a monthly cost of $40 and an additional $2 per visit. So, if we assume 'y' to be the number of visits per month, the equation for the second plan looks like this: 40 + 2y. Don't worry, we're almost there!
To find the number of visits per month where the two plans are equal, we can set the two equations equal to each other. So, we get:
8x = 40 + 2y
And there you have it! That's the equation showing the number of visits per month where the two plans are equal. Now, all that's left to do is solve this equation, but I'll save that for another hilarious moment!
To write the equation, let's assume "x" represents the number of visits per month.
For the first plan, the cost per visit is $8. Therefore, the total cost for x visits would be 8x dollars.
For the second plan, the monthly cost is $40, and the additional cost per visit is $2. So, the total cost for x visits would be 40 + 2x dollars.
To find when the two plans are equal in cost, we can set up the equation:
8x = 40 + 2x
Simplifying the equation:
8x - 2x = 40
6x = 40
Divide both sides of the equation by 6:
x = 40 / 6
Simplifying:
x ≈ 6.67
So, it would take approximately 6.67 visits per month for the two plans to be equal in cost.