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The first Earth Day was observed on April 22, 1970. Since then, the week of April 22 has been Earth Week, a time for showing support for environmental causes. Fans Cafe is offering a reduced refill rate for soft drinks during Earth Week for anyone purchasing a Fans mug. The mug costs $2.95 filled with 16 ounces of soft drink. The refill price is $0.50. A 16-ounce drink in a disposable cup costs $0.85. What is the approximate break-even point for buying the mug and refills in comparison to buying soft drinks in disposable cups? a. (5, 7.8) c. (4, 6.7) b. (8, 0.5) d. (7, 5.95)

User Evilscary
by
8.3k points

1 Answer

4 votes

Let x specify the number of 16 ounce serving

If you buy the mug you acquire the first serving including the mug.

So the price of x is:

295 + 50(x - 1)

the x - 1 here shows that the first serving with the mug.

And then count the whole thing in cents.

The fee of throwaway cups is 85x

So breakeven is computed by:

295 + 50(x - 1) = 85x

295 + 50x - 50 = 85x

245 = 35x

x = 245/35 = 7

Checking this will give us:

mug 2.95 + 50*6 = 5.95

disposable

8.5*7 = 5.95

So the answer is D.

User Tamas Kalman
by
7.4k points
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