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 Question from Salem, a student: A fitness center offers a special price for group-class students. The cost of registration is 30 dollars and then you have to pay 25 dollars per month. What is the rule of the equation in the light of c=---m+----?

Hi Salem,

In this example you are joining the fitness center for a number of months and you want to know what it will cost. When writing an algebraic equation you need to say what the letters represent. Let $m$ be the number of months you plan to belong to the fitness center and $c$ is the cost of this membership in dollars.

If you only join for 1 month ($m = 1$) then the cost will be $\$25 + \$30 = \$55.$If you join for 2 months ($m = 2$) you will need to pay the$\$25$ fee twice and the registration fee once so the cost will be $2 \times \$25 + \$30 = \$80$. If you join for 3 months you will need to pay the$\$25$ fee three times and the registration fee once. What is the value of $m?$ What will the cost be?

If you join for 6 months you will need to pay the $\$25$fee six times and the registration fee once. What is the value of$m?$What will the cost be? If you join for$m$months you will need to pay the$\$25$ fee $m$ times and the registration fee once. What will the cost be?

This is the expression you are looking for.

Write back if you need more assistance,
Penny

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