Help please!!!!?

Question

PLease Show work so i can learn...

A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a yearly fee of $150 and $2 per day to use the volleyball courts.Write and solve an equation to find how many days you must use the vollyball courts to justify becoming a member.

Answer 1

Welllllll...I don't like to do homework for kids...I am going to help though...there are 2 parts to the problem...you need to find out how many days are in a year and multiply that by 2 plus your yearly fee...that is the max the person with the membership would spend right? After that...divide it by the non-member charges...per day and you got your answer...after that amount of days they would benefit from becoming a member...right? Word problems are very hard...you should try one in statistics! It is all about comprehension and not letting the words freak you out....start breaking the question down in sections then it is just a matter of finding out how to use the info you have to get the answer...


came back to edit....SEE I was wrong! That is the 2nd part of a story problem...plugging in all the numbers and seeing if it makes sense... ;>

Answer 2

Well, the answer I come up with is 26 days. It's been a few decades since I've had any kind of math class, so I don't know what kind of equation to come up with. But I've had decades of real life, so this is how I arrive at the answer:

You pay $6 more per day if you're aren't a member. No matter what, you're going to have to pay that $2 a day. But to justify the yearly fee, divide the $150 by $6 and you get 25 -- that 's 25 times you'd have to visit to equal that yearly fee.

Now, to check the math, I work backward from my answer. 25 days X $8 per day = $200. That's what a nonmember would pay for those 25 visits. Then check the member rate: 25 days X $2 per day (the daily fee you have to pay anyway) = $50, plus the $150 you had to plunk down for the yearly fee. That also equals $200. So 25 visits costs the same if you're a member or a nonmember.

So if you went one MORE day as a member (26 days total), you'd begin to save that $6 difference.

I've figured out the answer, but as far as a math equation, I'm sorry I couldn't give you the whole thing. But maybe it will help -- that is, if you really want to learn.

This is the type of math question that makes sense in the real world. This exact type of question came up for us this summer -- should we get a family pool pass? How many times would we have to go to equal what we paid for it?

Answer 3

25 days x $8 per day = $200

25 days x $2 = $50 + $150 membership = $200

so you would need to use the gym more than 25 days to justify being a member

Answer 4

You pay
$8 per day times the number of days
or
$150 plus $2 times the number of days.

You are looking for how many days it takes before you pay as little by being a member as by paying each time.

Attempt to find the point or approximate point at which
$8 per day times the number of days
equals
$150 plus $2 times the number of days.

Call the number of days x. (x is the variable for the number of days.)

8x = 150 + 2x
6x = 150
x = 150/6
x = 25

The cost is the same at 25 days.

Answer -> 25 days

Answer 5

will be using y=mx+b
y is money, x is # of days
0=2x+150-8x
sry too lazy to explain