Function and Their Slopes

The table shows Vanessa's height in inches for two different years. What is the correct conclusion about the rate of change shown in the table?

• Vanessa grows about 41.7 inches per year.

• Vanessa grows about 6 inches per year.

• Vanessa grows about 1.2 inches per year.

• Vanessa grows about .83 inches per year.

Ariel is emptying the water from a 10 gallon cooler. The graph shows the water level in the cooler as she empties it. Which best describes the rate of change shown in the graph?

• The water level decreases 10 gallons per second.

• The water level decreases 1 gallon every 2 seconds.

• The water level decreases 3 gallons every 2 seconds.

• The water level decreases 2 gallons every 3 seconds.

The slope of a graphed line is 2/5. Which of the following triangles could lie on the line?

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Which of the following situations does not have the same unit rate as the graph shown?

• Asher buys gum for $0.20 a piece.

• A daycare has six workers for every 30 children.

• Monet reads 9 pages of her book every 45 minutes.

• Ja'Quan earns $10 every 2 hours to pet sit for his neighbor.

Which of the following is true about the graph shown above?

• The graph is not a function because it does not start at (0,0)

• The graph is a function because it passes the vertical line test.

• It is not a function because it is not linear.

• It is a function because it has a constant rate of change.

Te graph above shows the distance of three runners compared to the time during a race. Which of the following is NOT a true statement?

• Runner B gradually increased his speed.

• Runner A started in 2nd place and finished 1st.

• Runner C ran the farthest distance.

• Runner C gradually decreased his speed.

Which is true about triangles ABC and DEF?

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Which of the following representations shows y as a function of x?

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The graph above represents Randy's drive to school. Which of the following is a correct conclusion based on the graph?

• Randy drove uphill most of the drive.

• Randy increased his speed the entire drive.

• Randy did not make any stops on the way to school.

• Randy stopped twice on the way to school.

The graph shows the amount in Jovany's savings account over a certain number of weeks. What is the rate of change?

• 42/2

• -21

• 21/2

• -10.5