SOLUTION: Your gym membership costs $33 per month after an initial membership fee. You paid a total of $225 after 5 months. Write an equation that gives the total cost as a function of the l

Question 215957: Your gym membership costs $33 per month after an initial membership fee. You paid a total of $225 after 5 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 10 months.

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Your gym membership costs $33 per month after an initial membership fee. You paid a total of $225 after 5 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 10 months.

Step 1. Let x be the number of months paid.

Step 2. Let 33x be the dollar value of the cost paid after x months (no initial fee yet)

Step 3. Let 33*5=165 be the cost paid on a monthly basis for 5 months. But the total cost is 225 dollars after 5 months. This implies that the membership fee is 225-165=60 dollars.

Step 4. Let TC be the total cost.

Step 5. ANSWER: Then the equation of the total cost .

Step 6. ANSWER: After 10 months, total cost dollars.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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