Part A
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.

What is the slope of the line?

Slope =

Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?

a. Connor is correct because the rate of water flowing is equal to the slope. Water is flowing in at a rate which is about 2 gallons per minute.

b. Connor is not correct because the rate of water flowing is greater than the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

d. Connor is correct because the rate of water flowing is less than the slope. Water is flowing in at a rate which is faster than 2 gallons per minute.

Part B: c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.

Step-by-step explanation:

Part A:

Slope of the proportional graph = y/x

Using the point on the line, (4, 2),

Slope = 2/4 = ½.

Part B:

Since the slope of the graph bus ½, it shows that the water is flowing at a rate of ½ gallon per minute. Therefore, Connor is NOT CORRECT.

The rate of water Connor stated does not correspond with the rate shown by the slope. The slope of the graph, ½, shows that the water is flowing at a much slower rate than at the rate of 2 gallons per minute, which Connor stated.

The right answer is C.