Question

Larry Lazy purchased a one year membership at a local fitness center at the beginning of the year. It cost him $150. He goes twice a week for the first three months (13 weeks) of the year, but then goes only once a month for the rest of the year.
How much does each visit to the center cost? $  per visit.
If he continued going twice a week all year, how much would each visit cost? $  per visit.

Answer 1

$4.05 per visit
if he continued going to the gym twice a week all year would be $2.88 per visit.

Answer 2

Larry goes twice a week in the first 3 months and then once a month for the rest of the 9 months.

Total number of times he went = 13 x 2  + 9 = 35

He went a total of 35 times in the year.

The membership for the year cost him $150, to calculate the cost of one visit, we divide the cost with the number of visits.

150 ÷ 35 = $4.29 (nearest hundredth)

It costs him $4.29 each visit to the centre.

If he goes twice a week for the whole year, he would have gone for 52 x 2 times since there are 52 weeks in a year.

52 x 2 = 104 

He would have gone for 104 times. 

To find the cost of each visit, we divide the $150 membership with 104 times.

150 ÷  104 = $1.44

Each visit would cost him $1.44.

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Answer: (a) $4.29 (b) $1.44
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