Question

Please help I’m very confused click to see the full picture

Answer 1

Answer:

Option A. The water is draining at a constant rate of  $\frac{1}{2}$ gallon per minute and the tank contained exactly 14 gallons when the drain was opened

Step-by-step explanation:

Graph Analysis

We need to infer the situation presented in the graph. We first notice it's a line that relates the volume of water in a tank in gallons vs the time elapsed in minutes. The water is draining from the tank, it's evident since the line has a negative slope.

We can also notice the initial volume of water in the tank (at t=0) is 14 gallons. Two minutes later (at t=2 minutes) there are 13 gallons of water in the tank. Since the line will continue to decrease at the same rate, we can know the rate at which the water drains from the tank.

If there were 14 gallons of water and 2 minutes after, there were 13 gallons of water, then the gallon that left the tank took 2 minutes to do so, thus in one minute, the tank will lose half a gallon or $\frac{1}{2}$ gallon per minute.

The only possible answer to exactly describe the situation is the option A