AP CALCULUS AB Test Booklet
Interpreting the Meaning of the Derivative in Context Quiz
1. The function models the time, in hours, for a sample of water to evaporate as a function of the size of
the sample, measured in milliliters. What are the units for ?
(A) hours per milliliter
(B) milliliters per hour
(C) hours per milliliter per milliliter
(D) milliliters per hour per hour
2. The function gives the production cost for a bakery to produce cakes of a certain type, where is the cost, in
dollars, to produce of the cakes. The function defined by gives the marginal
cost, in dollars, to produce cake number . Which of the following gives the best estimate for the marginal
cost, in dollars, to produce the 40th cake?
(A)
(B)
(C)
(D)
3.
The function defined above models the depth, in feet, of the water hours after 12 A.M. in a certain harbor.
Which of the following presents the method for finding the instantaneous rate of change of the depth of the water, in
feet per hour, at 6 A.M. ?
(A)
(B)
(C)
(D)
4. The function models the time, in minutes, for a chemical reaction to occur as a function of the amount
of catalyst used, measured in milliliters. What are the units for ?
(A) minutes per milliliter
(B) milliliters per minute
(C) minutes per milliliter per milliliter
(D) milliliters per minute per minute
5. The function gives the cost, in dollars, to produce a particular product, where is the cost, in dollars, to
produce units of the product. The function defined by gives the marginal cost,
in dollars, to produce unit number . Which of the following gives the best estimate for the marginal cost, in
dollars, to produce the 57th unit of the product?
This study source was downloaded by 100000899606070 from CourseHero.com on 06-19-2025 09:57:07 GMT -05:00
AP Calculus AB Page 1 of 2
https://www.coursehero.com/file/174903380/Interpret-the-Meaning-of-the-Derivativepdf/
Interpreting the Meaning of the Derivative in Context Quiz
1. The function models the time, in hours, for a sample of water to evaporate as a function of the size of
the sample, measured in milliliters. What are the units for ?
(A) hours per milliliter
(B) milliliters per hour
(C) hours per milliliter per milliliter
(D) milliliters per hour per hour
2. The function gives the production cost for a bakery to produce cakes of a certain type, where is the cost, in
dollars, to produce of the cakes. The function defined by gives the marginal
cost, in dollars, to produce cake number . Which of the following gives the best estimate for the marginal
cost, in dollars, to produce the 40th cake?
(A)
(B)
(C)
(D)
3.
The function defined above models the depth, in feet, of the water hours after 12 A.M. in a certain harbor.
Which of the following presents the method for finding the instantaneous rate of change of the depth of the water, in
feet per hour, at 6 A.M. ?
(A)
(B)
(C)
(D)
4. The function models the time, in minutes, for a chemical reaction to occur as a function of the amount
of catalyst used, measured in milliliters. What are the units for ?
(A) minutes per milliliter
(B) milliliters per minute
(C) minutes per milliliter per milliliter
(D) milliliters per minute per minute
5. The function gives the cost, in dollars, to produce a particular product, where is the cost, in dollars, to
produce units of the product. The function defined by gives the marginal cost,
in dollars, to produce unit number . Which of the following gives the best estimate for the marginal cost, in
dollars, to produce the 57th unit of the product?
This study source was downloaded by 100000899606070 from CourseHero.com on 06-19-2025 09:57:07 GMT -05:00
AP Calculus AB Page 1 of 2
https://www.coursehero.com/file/174903380/Interpret-the-Meaning-of-the-Derivativepdf/
