What equation will solve the problem?

Question

Jen wants to purchase a membership at a swimming pool. She can pay a daily entrance fee of $3 or purchase a membership for the 12-week summer season for $80 and pay $1 per swim. How many days would she have to swim to make the membership worthwhile?

Answer 1

d = number of days

 

You want

membership < daily

80 + 1(d) < 3d

80 + d < 3d

80 < 2d

40 < d

 

The membership is worthwhile only if she swims more than 40 days.