A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes. If you graph the equation representing the amount of water left in the tank, y, after x minutes, what will the slope and the y-intercept of the line be?

Question

Maverick Chandler

Mathematics

21 November, 19:29

A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes. If you graph the equation representing the amount of water left in the tank, y, after x minutes, what will the slope and the y-intercept of the line be?

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Answers (1)

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Allan Hayden · Answer 1

the slope is - 1/2 while the y-intercept is 80

Step-by-step explanation:

Let x be the time in minute and y be the water in the gallon.

From the question, the water flows at a rate of 1 gallon every 2 minutes, which implies that, the rate of change is the slope = 1/2.

The tank has a leak i. e The water flows out from the tank. Since the water flows out of the scope, it implies that the scope = - 1/2. y - intercept is the initial amount of water in the tank which is 80.