# Worksheet: Rate of Change

Q1:

Evaluate the rate of change of at .

Q2:

Find the rate of change of with respect to when .

Q3:

If the function , find the rate-of-change function when .

• A
• B
• C
• D
• E

Q4:

Evaluate the rate of change of at .

Q5:

Determine the rate of change of the function at .

• A
• B
• C
• D

Q6:

Evaluate the rate of change of at .

• A
• B5
• C
• D4
• E

Q7:

A population’s size after days is given by . Find the rate of change in the population when .

Q8:

The biomass of a bacterial culture in milligrams as a function of time in minutes is given by . What is the rate of growth of the culture when minutes?

Q9:

The distance in meters traveled by a body in seconds is . What is the rate of change of with respect to when ?

• A648
• B216
• C237
• D225

Q10:

The distance , in centimeters, is given in terms of time , in seconds, by . Find the rate of change of distance with respect to time after 5 seconds.

• A20 cm/s
• B75 cm/s
• C95 cm/s
• D85 cm/s
• E475 cm/s