The member pays $9.50 to take a boat out, plus $105 just to be a member.
Let's call ' R ' the number of rentals
Member Cost = (9.50 times R) + 105
Non-member cost = (14.75 times R) .
You're interested in when their costs are equal, so at that point, we can write ...
Member cost = non-member cost
9.5 R + 105 = 14.75 R
Subtract 9.5 R from each side: 105 = 5.25 R
Divide each side by 5.25 : 20 = R
If you're going to rent a boat less than 20 times during the Summer season, rent them at the non-member rate.
More than 20 times in 1 Summer, you'll save money by being a member.
This sounds a bit extreme to me. If the Summer season means ALL of May, June, July, August, and September, then you would need to average more than one rental every 7.65 days ... a hair more than one a week ... in order to save any money by being a member. I love sailboat rental, and I live just 2 miles from Lake Michigan, but even at these prices (cheap), I would never average a rental every week for 5 months. So for me, there would be no benefit in a membership ... at least not in the cost of boat rental.
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Another way to do it, with more brain but less algebra:
Each time a member rents a boat, he pays (14.75 - 9.50) = 5.25 LESS than a non-member would pay to rent the same boat. But in order to get that deal, he had to pay $105 "up front", at the beginning of the season, before he ever rented anything.
How many times does he have to 'save' $5.25 before he makes up for the the $105 ?
Over 10 straight plays they would have 16 gained years and 8 lost yards. over 20 straight plays the would have 32 yards gained and 16 lost yards. what you do to find out how to do this is dividing the yards gained and the yards lost and then multiplying all the numbers by the number you got.
