Question

(GRAPH BELOW)
A plumber opens a tap to drain water from a tank. The graph shows the amount of water, in gallons, left in the tank t minutes after opening the tap.

Which statements are true? Select ALL that apply.

The tap drains approximately half the water from the tank in 15 minutes.

The tap drains exactly one gallon from the tank every minute.

The tank initially has 30 gallons of water.

The tank initially has 50 gallons of water.

The tank takes 50 minutes to drain completely.

Answer 1

Answer:

The tap drains approximately half the water from the tank in 15 minutes

The tank initially has 50 gallons of water

Step-by-step explanation:

The tap drains approximately half the water from the tank in 15 minutes. True.

This is true because see that the point (15,25) lies on the graph of the line.

Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.

The tap drains exactly one gallon from the tank every minute. False

This is false because the slope of the graph is $m=\frac{50-25}{0-15}=-\frac{5}{3}$

The tank initially has 30 gallons of water. False.

The y-intercept is the initial gallons of water which is 50.

The tank initially has 50 gallons of water. True.

The y-intercept is the initial gallons of water which is 50.

The tank takes 50 minutes to drain completely. False.

It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.