Question

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? A.slope = 1/2 and y-intercept = -80 B.slope = -1/2 and y-intercept = 80 C.slope = 1 and y-intercept = -80 D.slope = -1 and y-intercept = 80

Answer 1

Answer:

slope = -1/2 and y-intercept = 80

Step-by-step explanation:

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

Rate of change is the slope

Given that rate of change is  1 gallon every 2 minutes that is 1/2. The water flows out at the rate of 1/2. since it flows out the slope is negative.

So slope = -1/2

y intercept is the initial amount of water in the tank

A water tank has 80 gallons of water. so y intercept is 80 gallons of water

y intercept = 80