Rate of Change

The graph of a linear function is shown in the coordinate plane. What is the rate of change in y per unit change in x for this linear function?

• -5

• -2.5

• -2

• -0.4

The graph shows the volume of a gas sample as the temperature changes and the pressure remains constant. Which of the following best represents the rate of change in the volume of the gas sample with respect to the temperature?

• $\frac{7}{100}$ mL/C

• $\frac{1}{12}$ mL/C

• $12$ mL/C

• $22\ \frac{2}{5}$ mL/C

A company uses a formula to determine

each employees pay. The formula used is

P(b) = 45 + (5/2)b, where P(b) is the employee’s

total daily pay and b is the number of products

produced by the employee. According to the

formula, what is the rate employees are paid

per product produced?

• $2.50

• 5.00

• $2.00

• $45.00

The graph shows the height of a tree every year. Which of the following is true about the rate of change of the tree's growth?

• The tree grew about 1 foot per year.

• The tree grew about 2 feet per year.

• The tree grew about 4 feet per year.

• The tree grew about 20 feet per year.

The graph shows the weight of a jar based on the number of marbles.  Which of these best represents the rate of change of the weight with respect to the number of marbles?

• 15/8 grams per marble
• 25/24 grams per marble
• 7/5 grams per marble
• 7/8 grams per marble

A man is climbing down from 100 feet high descending 30 feet per minute. What is the rate of change?

• -30

• 30

• 100

• -100

Find the rate of change

• 2 dollars per ticket
• 1/2 dollar per ticket
• -1/2 dollar per ticket
• -2 dollars per ticket

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours x, and the water level in meters, y.

Complete the statement that describes the rate of change of the water level with respect to time.

The water level ​ (a)   at a rate of ​ (b)   m/h.

• decreases
• 0.25
• increases
• 1
• 4

A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps.

What is the rate of change of height off the ground with respect to the number of steps?

• 14 in. per step

• 7 in. per step

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.

What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?

(a)   ​ ​ (b)  

• 8
• feet below sea level per second
• -8
• seconds per feet below sea level
• 460
• 18