Functions and Slope Quick Check

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.

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

• Richie earns $10 every 2 hours to pet sit for his neighbor.

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

• 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

The following set of ordered pairs represents y as function of x.

{ (9,8), (-2,-14), (6,2), (-3,-16), ( ___ , ___ ) }

Which of the following could be the missing ordered pair?

• (9, -8)

• (-3, 9)

• (-9, 8)

• (6, -2)

Which is true about the mapping shown?

• It represents a function because each x-value corresponds to exactly one y-value.

• It represents a function because each y-value corresponds to exactly one x-value.

• It does not represent a function because each x-value corresponds to exactly one y-value.

• It does not represent a function because each y-value does not correspond to exactly one x-value.

The graph shows the amount in Harold's savings account over a certain number of weeks. Find the rate of change and record it in the grid.

Mathematical Equivalence

ON

Graph a linear function that goes through the origin and has a slope of 8/5.

Graph a line with the slope of 2/5 and the y-intercept -3.

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

• Vangessa 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 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.

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

• Asher buys gum for $.20 a piece

• A daycare has six workers for every 30 children.

• Melanie reads 9 pages of her book every 45 minutes

• Richie earns $10 every 2 hours to pet sit for his neighbor.