What is the total money paid by a year membership will be

Question

To join a sports club, every new member pays an initial amount in addition to the monthly charges. The formula for total cost of the membership is F(c)=100+5a, where C  is the total cost of the membership and a is the number of months for which the membership holds. The total money paid by a  year membership will be

Answer 1

Hi Mare,

I'm happy to answer your question. Hit me up for an online lesson so we can strengthen those word problem skills.

So let's break it down into a real world example. Let's say every new member pays an initial amount. For example, at 24 hour fitness, the initial cost to join is $99 then it only costs $29.99 per month after that.

So the cost to join is $99.

The TOTAL amount you pay after 1 month is $99 + 29.99 = $128.99

The total amount you pay after 2 months is $99 + 29.99 + 29.99 = $158.98

The total amount you pay after 3 months is $99 + 29.99 + 29.99 + 29.99 = $188.97

The total amount you pay after 4 months is $99 + 29.99 + 29.99 + 29.99 + 29.99= $218.96

Ok, we're starting to see a pattern

The TOTAL amount you pay is $99 + 29.99 * number of months

So The TOTAL amount you pay after 1 month is $99 + 29.99 *1 = $128.99

The total amount you pay after 2 months is $99 + 29.99 * 2 = $158.98

The total amount you pay after 3 months is $99 + 29.99 *3 = $188.97

The total amount you pay after 4 months is $99 + 29.99 * 4 = $218.96

So if you assign variables to the values

P = total amount you pay each month

t = # of months you're paying

i = initial cost

m = monthly charges

P = initial cost + monthly charges * # of months

P = i + t * m

I look forward to working with you!