Average Rate of Change Review

• −2

The number of active accounts on the social media app Instagram has grown drastically since 2013. The table above gives the number of active Instagram accounts, in billions, for selected years since 2013. The quadratic function A models the number of active Instagram accounts, in billions, as a function of time t in years since 2013. What is the value of the residual for the number of Instagram accounts for the year 2017 (t=4)?

• 0

• 1

• 2

• 3

Find the average rate of change on the interval (0, 3). 

• 4

• 7

• 7/3

• 3/7

Over what intervals is the average rate of change decreasing?

• (-∞, 1)

• (0, 2)

• (-1, ∞)

• (-∞, 2)

Where is the average rate of change negative?

• (-∞, -1.5) U (2, 4)

• (0.3, 3)

• (-1, 4)

• (-3, 5)

What is the average rate of change of [1, 5]?

• -0.65

• -0.75

• 3.75

• 4

On what interval is the average rate of change positive?

The number of active accounts on the social media app Instagram has grown drastically since 2013. The table above gives the number of active Instagram accounts, in billions, for selected years since 2013. The quadratic function A models the number of active Instagram accounts, in billions, as a function of time t in years since 2013. Use the model found in part (i), What is the predicted number of active Instagram accounts for the year 2024 (t=11)?