Compare the Rates of the Slopes

Who has the greater rate of change?

• CJ has a greater rate of change with 6.5

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same level of steepness

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same steepness, even though one is negative and one is positive

• This cannot be determined

Two linear functions, f(x) and g(x) are represented. Compare the functions stating which has a greater rate of change. The function ​ (a)   has the greater rate of change. The rate of change is ​​ (b)   .

• g(x)

• 20.5

• -3

• 3

• -0.8

• f(x)

• 4

• -5/2

• -2/5

• 5.5

Which of the following is the best description of how the slope of r compare with the slope of s(x)?

• The slopes of r and s(x) are the same, so the lines are parallel.

• The slopes of r and s(x) are not the same, so the lines are not parallel.

• The slopes of r and s(x) are both negative.

• The slopes of r and s(x) are both positive.

In comparing the rates of change, which statement about Function A and Function B is true?

• Function A and Function B have the same rate of change.

• Function A has a greater rate of change than Function B.

• Function A and Function B both have negative rates of change.

• Function A has a negative rate of change and Function B has a positive rate of change.

• Function A and Function B both have the same y-intercept.

The graph of function f(x) is shown in the coordinate plane below.  A table listing some of the values of the linear function g(x) is shown below. Which of the two functions has the greater rate of change? Explain your reasoning.

The rate of change for function f(x) is ​ (a)   and the rate of change for g(x) is ​ (b)   so the function ​ (c)   has the greatest rate of change.

• -1/2

• 3

• g(x)

• f(x)

• -2

• -3

• 1/3

• -1/3

• 1/2

Compare the slopes and y-intercepts of both functions. Then choose the correct answer.

• Both functions have the same slope and y-intercept.

• Both functions have different y-intercepts and slopes.

• The slopes are the same, but the y-intercepts are different.

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.