Comparing Different Types of Linear Functions

Which tree is growing the fastest?

• Tree A

• Tree B

• Tree C

Function A is represented by the equation.

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Who has a greater rate of change? (slope)

• Smith

• Harmon

• Macey

• None of the above

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

is represented by the table above:

is represented by the equation y = 2x – 4.

Which statement is true?

• Function 1 has a greater rate of change than Function 2.

• Function 2 has a greater rate of change than Function 1.

• They have the same rate of change

• Function 1 has a positive rate of change, and Function 2 has a negative rate of change.

• The y-intercept of Function A is less than the y-intercept of Function B.

• The y-intercept of Function A is greater than the y-intercept of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

What is the equation for this graph?

• y = -3/7x + 4

• y = -7/3x + 4

• y = -3/7x + 10

• y = -7/3x + 10

What is the equation for this graph?

• y = ⅔ x + 3

• y = -⅔ x + 3

• y = ⅔ x - 3

• y = -⅔ x - 3

Sonya has $40 in her lunch account and pays $2 each day to eat lunch.  Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = 40 - 2x

• y = 2 + 40x

• y = 2 - 40x

Construct a linear model for the graph.