Due in 6 hours, 29 minutes Due Tue 01/30/2018 11:59 A bathtub made of cast iron

Question

Due in 6 hours, 29 minutes Due Tue 01/30/2018 11:59 A bathtub made of cast iron and porcelain contains 60 gallons of water and the total weight of the tub and water is approximately 875.7 pounds You pull the plhag and the water begins to drain (Note that water weighs 8.345 pounds per gallon) a. Define a formula that determines the weight of the water that has drained from the tub, A, in terms of the number of gallons of water that have drained from the tub, Preview b. Define a formula that determines the total weight in pounds of the tub and water, w, in terms of the number of gallons of water that have drained from the tub, Preview c. How much does the tub weigh when there is no water in the tub? Preview d. If the weight of the tub and water is 566 935 pounds, how many gallons of water are in the tub? Preview

Explanation / Answer

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a) If g gallons are drained
wt of water drained is:

8.345 * g ----> ANS

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b)
So, w = weight of tub plus water initially - wt of water drained

w = 875.7 - 8.345*g ---> ANS

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c)
60 gal of water
results in a total weight of 875.7 pounds

Weight of water = 8.345 pd per gallon
So, for 60gl of water, weight of water alone is :
60 * 8.345 is 500.7 pounds

Weight of the bathtub is :
w= 875.7 - 500.7
w = 375 pds

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d)
566.935 = 375 + 8.345*g
8.345g = 191.935
g = 191.935 / 8.345

g = 23

23 ---> ANS

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