Another Multi. Choice Problem

Question 1 of 20
0.0/ 5.0 Points
Graph the function by making a table of coordinates.

f(x) =
x

A.  
B.  
C.  
D.  

Question 2 of 20
0.0/ 5.0 Points
Use the graph of log
5x to obtain the graph of f(x) = 2log
5x.

A.  
B.  
C.  
D.  

Question 3 of 20
0.0/ 5.0 Points
The long jump record, in feet, at a particular school can be modeled by 
 where x is the number of years since records began to be kept at the school. What is the record for the long jump
14 yearsafter record started being kept? Round your answer to the nearest tenth.

A. 20.3 feet  
B. 23.7 feet  
C. 24.1 feet  
D. 23.9 feet  

Question 4 of 20
0.0/ 5.0 Points
The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use
.

A. 402  
B. 408  
C. 428  
D. 415  

Question 5 of 20
0.0/ 5.0 Points
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln (x – 6) + ln (x + 1) = ln (x – 15)

A. {3, -3}  
B. {-3}  
C. {3}  
D. Ø  

Question 6 of 20
5.0/ 5.0 Points
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log
6x
2 = log
6(5x + 36)

A.  
B. {9}  
C. Ø  
D. {9, -4}  

Question 7 of 20
0.0/ 5.0 Points
Evaluate or simplify the expression without using a calculator. log 1000

A. 3  
B. 30  
C.  
D.  

Question 8 of 20
5.0/ 5.0 Points
Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.

A.  
B.  
C.  
D.  

Question 9 of 20
0.0/ 5.0 Points
The logistic growth function f(t) =
models the number of people who have become ill with a particular infection
tweeks after its initial outbreak in a particular community. How many people were ill after 9 weeks?

A. 88,450 people  
B. 87,000 people  
C. 84,502 people  
D. 540 people  

Question 10 of 20
5.0/ 5.0 Points
Use the graph of f(x) = ln x to obtain the graph of g(x) = -4 – ln x.

A.  
B.  
C.  
D.  

Question 11 of 20
0.0/ 5.0 Points
The formula S = A
models the value of a retirement account, where
A = the number of dollars added to the retirement account each year,
r = the annual interest rate, and
S = the value of the retirement account after
t years. If the interest rate is 11%, how much will the account be worth after 15 years if $2200 is added each year? Round to the nearest whole number.

A. $86,218  
B. $168,418  
C. $11,675  
D. $35,200  

Question 12 of 20
0.0/ 5.0 Points
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

ln (x – 8) – ln (x + 7) = ln (x – 10) – ln (x + 8)

A.  
B.  
C. {-2}  
D.  

Question 13 of 20
0.0/ 5.0 Points
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log
6(5x – 5) = log
6(3x + 7)

A. {1}  
B. {6}  
C. Ø  
D. {2}  

Question 14 of 20
0.0/ 5.0 Points
Write the equation in its equivalent logarithmic form.

2
3= x

A. log2x = 3  
B. log23 = x  
C. logx2 = 3  
D. log3x = 2  

Question 15 of 20
0.0/ 5.0 Points
Use Newton’s Law of Cooling, T = C + (T0 – C.ekt, to solve the problem A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.

A. 32°F  
B. 29°F  
C. 35°F  
D. 27°F  

Question 16 of 20
0.0/ 5.0 Points
Use the compound interest formulas A = P
nt and A = Pe
rtto solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually?

A. Both investment plans yield the same return.  
B. $11,000 invested at 6.3% compounded semiannually over 10 years yields the greater return.  
C. $11,000 invested at 6.25% compounded continuously over 10 years yields the greater return.  

Question 17 of 20
0.0/ 5.0 Points
The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by pH = -logx where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 1 x 10
-1

A. 13  
B. 1  
C. -13  
D. -1  

Question 18 of 20
0.0/ 5.0 Points
A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. Solve the problem.

A. 35,828  
B. 15,299  
C. 1311  
D. 21,839  

Question 19 of 20
0.0/ 5.0 Points
Use the graph of log
5x to obtain the graph of f(x) = 2 + log
5x.

A.  
B.  

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