Estimate the value of the quantity.

Question

Estimate the value of the quantity.

A swimming pool has a leak. The leak is getting worse. The following table gives the leak rate every 6 hours.

TIME (HR) LEAKAGE (GAL/HR)

0 0

6 .5

12 .7

18 1.1

24 2.4

30 4.5

36 5.6

42 6

48 6.9

Suppose it keeps leaking 6.9 gallons every 6 hours. After losing 2500 gallons the leak is fixed. Approximately how long did the leak last? Use the right endpoints to estimate the first 48 hours.

MULTIPLE CHOICE

33.54 hours

27.54 hours

-93.20 hours

53.64 hours

Answer 1

None of the answer choices appear to be correct.

Using the right endpoints, multiply each leakage rate (excluding time 0) by 6 hours:

6(0.5 + 0.7 + 1.1 + 2.4 + 4.5 + 5.6 + 6 + 6.9) = 166.2 gallons

The pool has 2,333.8 gallons left to lose before reaching 2,500 gallons. Assuming the leak continues at 6.9 gallons per hour, that takes approximately 338.23 more hours.

Adding the original 48 hours gives 386.23 hours total.

I would double-check the question because none of the provided answers matches this calculation.