I need to complete this problem and solve the system of equations after I create the equations. I have no problems with solving the equations with any of the methods( substitution/elimination) what I am having trouble with, of all things, is wrapping my head around an equation that has consistent variables. Here is the problem and I will then tell what I THOUGHT I was to do.
"A woman wants to join a new kettlebell gym in her area. The owner has two pricing structures and many class options. She knows that she wants to continue exercising 5 days a week. She likes to run on 2 of those days and train functionally the other 3 days. After discussing her goals with the owner of the gym she realizes she definitely wants to get the initial 10 class pass in order to get the basics of kettlebells and other function fitness basics down pat. That 10 -class pass is $150. The other two options the owner has for payment are $5 drop in daily rate, which means she can go during open gym hours and exercise on her own using the knowledge gained from the beginner’s classes; and is to pay the annual contracted membership amount of $480. Which would be deducted from her checking account automatically each month in the amount of $40. She has a large family, full time job, and volunteers regularly. The gym has a split hour schedule of 7 am – 12pm and 3pm – 8pm. She knows that at times her workout schedule gets mixed up and she would likely have to miss a workout or two each month. The woman needs to figure out the difference in cost monthly or annually and decide where the cost options are equal in order to decide which option to take. Graph.
So I originally thought x= visits per month and y= monthly cost. So for the daily option 5x=y and I just had x=40 for the second equation. Not realizing at the time that y was missing from this. Now with the realization that I did not have consistent variables I am completely lost . How do you go about creating a cost equation when you have a fixed rate of 40/month or $480/year? I just cannot wrap my mind around this. Any help out there? Thanks!
"A woman wants to join a new kettlebell gym in her area. The owner has two pricing structures and many class options. She knows that she wants to continue exercising 5 days a week. She likes to run on 2 of those days and train functionally the other 3 days. After discussing her goals with the owner of the gym she realizes she definitely wants to get the initial 10 class pass in order to get the basics of kettlebells and other function fitness basics down pat. That 10 -class pass is $150. The other two options the owner has for payment are $5 drop in daily rate, which means she can go during open gym hours and exercise on her own using the knowledge gained from the beginner’s classes; and is to pay the annual contracted membership amount of $480. Which would be deducted from her checking account automatically each month in the amount of $40. She has a large family, full time job, and volunteers regularly. The gym has a split hour schedule of 7 am – 12pm and 3pm – 8pm. She knows that at times her workout schedule gets mixed up and she would likely have to miss a workout or two each month. The woman needs to figure out the difference in cost monthly or annually and decide where the cost options are equal in order to decide which option to take. Graph.
So I originally thought x= visits per month and y= monthly cost. So for the daily option 5x=y and I just had x=40 for the second equation. Not realizing at the time that y was missing from this. Now with the realization that I did not have consistent variables I am completely lost . How do you go about creating a cost equation when you have a fixed rate of 40/month or $480/year? I just cannot wrap my mind around this. Any help out there? Thanks!
