Need to compare daily to yearly gym membership. Cost per day $5 and Annual $600 need to make linear equations and then solve and graph. I have y-5x and y=600 so far...and I'm stuck.

Question

Need to compare daily to yearly gym membership.  Cost per day $5 and Annual $600 need to make linear equations and then solve and graph.  I have y-5x and y=600 so far...and I'm stuck.

anonymous · Answer

So, I'm guessing that the question is something like "how many days would you need to attend the gym to equal a yearly membership," correct?

anonymous · Answer

If so, then you are correct, we have y=5x and y=600. We use these to first find where the two payment plans are equal. Since y equals both 600 and 5x, we arrive at 5x=600, and we can solve for x. This is how many days you would need to attend for the payment plans to be equal in value.

anonymous · Answer

By looking above an below this point (add one to x, see what happens, then do the same for one below x) we can compare the two payment plans above and below this equality.

Further, we can graph the two payment plans on a single graph.

y=5x is a line with a slope of 5 and an intercept of 0.
y=600 is a horizontal line at 600. Where they meet should be at the x position found earlier.

anonymous · Answer

Is this clear?