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After pulling the plug from a tub, the amount of water in the tub changed at a c

ID: 3016385 • Letter: A

Question

After pulling the plug from a tub, the amount of water in the tub changed at a constant rate of 1.7 gallons per minute. The following y = mx + b gives the number of gallons of water in the tub in terms of the numbers of minutes elapsed since the plug was pulled. Match each expression below with the appropriate quantity from the list. (x and y are variables typically assigned to represent and dependent quantities, respectively. a The number of gallons of water that have drained from the tab. b. The number of minutes it takes for one gallon water to drain from the tube. The number of gallons of water in the tub d. The change in the number of gallons of water in the tub each minute e The number minutes it takes the tub to drain completely f. The number of gallons of water in the tub when the plug is pulled g. The number of minutes elapsed since the plug was pulled Consider the quantities represented by y, m, x and b. Which of these quantities are constant and which are varying?

Explanation / Answer

y=mx +b

y=number of gallons of water in the tub when the plug is pulled

b=number of gallons of water in the tub

m=the change in the number of gallons of water each minute

x=the number of minutes elapsed since the plug was pulled.

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