Respuesta :

Edufirst
This is how you interpret the data and use it to solve the problem.

You can do this as direct proportion problem.

The number of gallons filled is proportional to the number of hours, and the rate of filling is:

rate = number of gallons / number of hours

From the two data in the second column you have:

number of hours = 3/4 h = 0.75 h

number of gallons = 637 + 1/2 gallons = 637.5 gallons

=>rate = 637.5 gal / 0.75 h = 850 gal/h

In the second column you have the number of hours and want to find the number of gallons, so assuming direct proportionality:

number of hours = 1/4 = 0.25

rate = 637.5 / 0.75 = x / 0.25

=> x = 0.25 * rate = 0.25 h * 850 gal/h  = 212.5 gallons.

And from the third column:

number of hours = 1 + 1/2 hours = 1.5 hours

rate = x / 1.5 => x = 1.5h * rate = 850gal/h * 1.5h = 1275 gallons

With that you have already solved a. and b.

You should know how to answer c. and d. This is how:

c. number of gallons = 5.5 hours

number of gallons = rate * number of hours = 850 gal/h * 5.5 h = 4675 gal.

d. number of gallons = 100 gal

rate = 100 gal / number of hours => number of hours = 100 gal / rate

=> number of hours = 100 gal / 850 gal/h = (2/17) h

Pass to minutes => (2/17) h * 60 min/h ≈ 7 min

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