Compare Initial Values and Rate of Change

Compare the initial values and rate of change of both functions.

• Both functions have the same initial value and rate of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values differ.

• The initial values are the same, but the rates of change differ.

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

• y

• m

• x

• b

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Identify the Rate of Change and Initial Value

• Rate of Change - 25 Initial Value - 8

• Rate of Change - 8 Initial Value - 25

• The function f(x) has a greater y intercept than the function g(x)
• The function g(x) has a greater rate of change than the function f(x)
• The function g(x) has a greater y intercept than the function f(x)
• The rate of change for both g(x) and f(x) are equal 

Identify the Rate of Change and Initial Value

• Rate of Change = 3 Initial Value = 2

• Rate of Change = -2 Initial Value = 3

• Rate of Change = 2 Initial Value = 3

Who has the greater rate of change?

• Smith has the greater rate of change.

• Harmon has the greater rate of change.

• Macey has the greater rate of change.

• They have the same rate of change

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for renting 9 movies?

• Beth's service is cheaper (Beth charges $42 vs. Nate charges $45)

• Nate’s service is cheaper (Nate charges $42 vs. Beth charges $45) 

• Nate’s service is cheaper (Nate charges $36 vs. Beth charges $45)

• Beth's service is cheaper (Nate charges $45 while she charges $36) 

Which kitten grows fastest? What is it's rate of change?

• Kitten A with a rate of change of 3

• Kitten B with a rate of change of 4

• Kitten A with a rate of change of 4

• Kitten B with a rate of change of 3