Slope Graphs and Tables and Rate of Change

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

• 64

• 128

• 32

• 16

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

• They both have the same rate of change

What is the slope of the table?

• 5/6

• -5/6

• 6/5

• -6/5

Which of the following rates of change represent the following graph?

• $1 per pound

• $2 per pound

• $0.50 per pound

• $50 per pound

For a linear function, which statement about slope and rate of change is true?

• The slope is greater than the rate of change when the slope is positive.

• The slope is equal to the rate of change.

• There is no relationship between slope and rate of change.

• Slope and rate of change are related, but more information is needed to describe the relationship.

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

The table shows the total cost of different numbers of square feet of carpet.

What is the rate of change of the total cost in dollars with respect to the number of square feet purchased for this linear relationship?

Enter your answer in the box.

Mathematical Equivalence

ON

Answer explanation

Find the rate of change for the table:

• $40 per car

• $12.50 per car

• $8 per car

• can not determine

Which rate of change represents the following graph?

• 4 bracelets per girl

• 3 bracelets per girl

• 0.25 bracelets per girl

• 2 bracelets per girl

What is the slope of this line and what is it representing?

• 80; they are driving 80 mi every 1 hour

• 20; they are driving 20 mi every 1 hour

• 40; they are driving 40 mi every 1 hour

• 160; they are driving 160 mi every 1 hour