Math 105 Final Exam ( With solved Solutions ) 2025
Edition| Rated A+| 100% Verified by experts|
Graded A+
_____ is the process of estimating unknown values between known data points using the
average growth rate.
A. Relation change
B. Interpolation
C. Extrapolation
D. Absolute change - ANSWER B. Interpolation
You have a 400-foot roll of fencing to enclose a playground. If you want to construct a
rectangular playground, what is the largest possible area of the playground.
A. 10,000 ft^2
B. 22,500 ft^2
C. 40,000 ft^2
D. 160,000 ft^2 - ANSWER A. 10,000 ft^2
Radium-226 is subject to radioactive decay, and each year the amount present is reduced by
4.2%. The amount of radium-226 is an exponential function of time in years. What is the base of
this exponential function?
A. 0.042
B. 0.238
C. 0.958
,D. 4.2 - ANSWER A. 0.042
Suppose the number of internet domain hosts get according to the rule Next year's
number=1.47 x Current number. If the number of domain hosts initially was 8.4 million, find an
exponential function that gives the number of hosts, H, in terms of time, t.
A. H= 1.47 x (8.4)^t
B. H= 1.47 + (8.4)^t
C. H= 8.4 + (1.47)^t
D. H= 8.4 x (1.47)^t - ANSWER D.H= 8.4 x (1.47)^t
An investment is growing by 9% each year. How long does it take the investment to double in
value?
A. 7 years
B. 8 years
C. 10 years
D. 11 years - ANSWER B. 8 years
___ is the process of estimating unknown value beyond known data points using the average
growth rate.
A. Relation change
B. Interpolation
C. Extrapolation
D. Absolute change - ANSWER C. Extrapolation
, Average growth rate formula:
(practice problem on test 1) - ANSWER Change in function
------------------------------
Change in Independent Variable
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your
monthly payment?
A. $250.65
B. $766.23
C. $162.50
D. $487.50 - ANSWER B. $766.23
How much do you need to deposit each month for three years into a savings account that pays
6.5% APR in order to buy a car that costs $25,000?
A. $613.78
B. $630.81
C. $635.55
D. $654.24 - ANSWER B. $630.81
A function is called linear if it has a(n) ___ growth rate.
A. Increasing
B. Decreasing
C. Varied
Edition| Rated A+| 100% Verified by experts|
Graded A+
_____ is the process of estimating unknown values between known data points using the
average growth rate.
A. Relation change
B. Interpolation
C. Extrapolation
D. Absolute change - ANSWER B. Interpolation
You have a 400-foot roll of fencing to enclose a playground. If you want to construct a
rectangular playground, what is the largest possible area of the playground.
A. 10,000 ft^2
B. 22,500 ft^2
C. 40,000 ft^2
D. 160,000 ft^2 - ANSWER A. 10,000 ft^2
Radium-226 is subject to radioactive decay, and each year the amount present is reduced by
4.2%. The amount of radium-226 is an exponential function of time in years. What is the base of
this exponential function?
A. 0.042
B. 0.238
C. 0.958
,D. 4.2 - ANSWER A. 0.042
Suppose the number of internet domain hosts get according to the rule Next year's
number=1.47 x Current number. If the number of domain hosts initially was 8.4 million, find an
exponential function that gives the number of hosts, H, in terms of time, t.
A. H= 1.47 x (8.4)^t
B. H= 1.47 + (8.4)^t
C. H= 8.4 + (1.47)^t
D. H= 8.4 x (1.47)^t - ANSWER D.H= 8.4 x (1.47)^t
An investment is growing by 9% each year. How long does it take the investment to double in
value?
A. 7 years
B. 8 years
C. 10 years
D. 11 years - ANSWER B. 8 years
___ is the process of estimating unknown value beyond known data points using the average
growth rate.
A. Relation change
B. Interpolation
C. Extrapolation
D. Absolute change - ANSWER C. Extrapolation
, Average growth rate formula:
(practice problem on test 1) - ANSWER Change in function
------------------------------
Change in Independent Variable
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your
monthly payment?
A. $250.65
B. $766.23
C. $162.50
D. $487.50 - ANSWER B. $766.23
How much do you need to deposit each month for three years into a savings account that pays
6.5% APR in order to buy a car that costs $25,000?
A. $613.78
B. $630.81
C. $635.55
D. $654.24 - ANSWER B. $630.81
A function is called linear if it has a(n) ___ growth rate.
A. Increasing
B. Decreasing
C. Varied
