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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