Comparing Rates of Change from a Graph, Equation and Table

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3

• Aubri has the greater rate of change with 3/2

• Tyler has the greater rate of change with 3/2

• They have the same rate of change.

What type of slope does the graph have?

• Zero

• Undefined

• Negative

• Positive

find the rate of change

• 3/2

• -3/2

• (-0,-3)

• none of the above

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 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

Alicia and Melissa did jumping jacks. The table shows the number of jumping jacks that Alicia had done in different amounts of time. The graph shows the number of jumping jacks that Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks?

• Melissa did 6 more jumping jacks per minute than Alicia.

• Alicia did 6 more jumping jacks per minute than Melissa.

• Melissa did 5 more jumping jacks per minute than Alicia.

• Alicia did 5 more jumping jacks per minute than Melissa.

Which function has a greater rate of change than the function that passes through the points given in the table below?

Jasmine compared the x-intercept of f(x) = 2x – 8 to the x-intercept of the function shown in the table.

What is the value of the larger x-intercept of the two functions?

• -8

• -2

• 4

• 16

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.