# Lesson Worksheet: Average and Instantaneous Rates of Change Mathematics • Higher Education

In this worksheet, we will practice finding the average rate of change of a function between two x-values and using limits to find the instantaneous rate of change.

Q1:

The average rate of change of a function between and is . Compute this quantity for at , and for .

Q2:

Let . Compute the average rate of change function of as varies from 5 to 5.1.

Q3:

Evaluate the average rate of change for the function when changes from 1 to 1.5.

Q4:

Evaluate the average rate of change of when varies from 5 to 5.62.

• A
• B
• C
• D

Q5:

For the function , list the average rates of change of over the interval , where , evaluated to 4 decimal places at most.

• A3.6, 3.06, 3.006, 3.0006
• B4.6, 4.06, 4.006, 4.0006
• C3.3, 3.03, 3.003, 3.0003
• D4.3, 4.03, 4.003, 4.0003
• E3.4, 3.04, 3.004, 3.0004

Q6:

A farm’s production in kilograms as a function of the kilograms of insecticide is given by . Find the average rate of change in when varies from 13 to 17.

• A
• B145
• C
• D

Q7:

A triangular lamina with a base twice its height expands while maintaining its shape. Find the average rate of change in its area when its height changes from 14 cm to 23 cm.

Q8:

Determine the average rate of change for when changes from 8 to 8.4.

Q9:

Determine the average rate of change function for at .

• A
• B
• C
• D

Q10:

Determine the average rate of change function for at .

• A
• B
• C
• D

This lesson includes 70 additional questions and 395 additional question variations for subscribers.

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