This problem works off of the relationship between two equations. In this case, the equations represent the two offered fitness plans. We will start by setting up our two equations:
y = 30x + 50
y = 40x
Our goal is to find when the first option will come out to be better in the long run, meaning that the first plan will cost us less money than the second plan after "x" months. You can use a plug-and-chug method to find this, where you just replace "x" with any number and use that for both equations or.
If you have access to a graphing calculator, you can find the point where the two lines intersect and just assume that "x + 1" will be when the first plan is the better buy.
A fitness club offers two membership options. The first option has an initial fee of $50 and then charges $30 per month. The second option has no initial fee but charges $40 per month. After how many months, x, will the first option be a better value than the second?
1 answer