Question

Use the graph to determine which statement is true. a. The unit rate for the amount of water dispensed is 9 liters per minute. b. Point A is the origin. c. In 35 min, 5 looters of water are dispensed to the crops. d. The line graph passes through the origin; therefore, it models a proportional relationship.

Answer 1

The correct option is d.

Explanation:

From the graph it is noticed that the line passing through origin and point A. The coordinates of point A is (5,35).

The coordinates of origin is (0,0).

Slope formula,

`m=(y_2-y_1)/(x_2-x_1)`

Slope of the line is,

`m=(35-0)/(5-0)= (35)/(5) =7`

Therefore, the amount of water increase 7 liters per minute. So the option A is incorrect.

Point A is not the origin therefore the option b is incorrect.

The x-axis represent the time and the y-axis represents the water in liters therefore the point A(5,35) represents 35 liters of water at 5 minutes. So the option c is incorrect.

Since the line graph passes through the origin therefore the x and y has proportional relationship. Therefore the option d is correct.