AnswersFL-1200330-Algebra 2 CRModeling with Rational Functions — Unit testQuestion 2
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Modeling with Rational Functions — Unit test

Question 2 • FL-1200330-Algebra 2 CR

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

Answer
A
100 hours
B
150 hours
C
180 hours
D
200 hours

Explanation

The table shows that the pool holds 60 × 300 = 18,000 gallons. With both hoses running, their rates add to 40 + 60 = 100 gallons per hour. Filling 18,000 gallons at 100 gallons per hour takes 18,000 ÷ 100 = 180 hours, so the correct choice is C, 180 hours.

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