Question

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)

Answer 1

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.