Question 1

Convert the exponential function to the form indicated. Round all coefficients to four significant digits.   = __________ k = __________

Accepted Answer

The answer of Convert the exponential function to the form...

Question 2

How long, to the nearest year, will it take an investment in Japan to double its value if the interest is compounded every six months? Please round the answer to the nearest year. Country U.S. Japan Canada Korea Australia Yield 5.3% 1.5% 5.2% 5.4% 6.0%

Accepted Answer

A) 47 years 
B) 46 years 
C) 42 years 
D) 51 years 
E) 43 years

Question 3

There are currently 1,000 cases of Venusian flu in a total susceptible population of 10,000 and the number of cases is increasing by 23% each day. Find a logistic model for the number of cases of Venusian flu and use your model to predict the number of flu cases a week from now. Round your answer to the nearest integer.

Accepted Answer

A)   cases 
B)   cases 
C)   cases 
D)   cases 
E)   cases

Question 4

Convert the exponential function to the form indicated. Round all coefficients to four significant digits.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Graph the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

How long, to the nearest year, will it take an investment in Canada to double its value if the interest is compounded every six months? Please round the answer to the nearest year. Country U.S. Japan Canada Korea Australia Yield 5.3% 1.5% 5.2% 5.4% 6.0% t = __________ year(s)

Accepted Answer

The answer of How long, to the nearest year, will...

Question 7

The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points)and a logistic model of these data (the curve). The logistic model is  where  is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates  for small  ? Round the coefficients to the nearest hundredth.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

The chart shows the number of research articles in the prominent journal Physics Review that were written by researchers in Europe during 1983-2003 (  represents 1983).  Which of the following logistic functions best models the data? (  is the number of years since 1983.)Try to determine the correct model without actually computing data points.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Nonlinear Functions and Models

Convert the exponential function to the form indicated. Round all coefficients to four significant digits. = k =

How long, to the nearest year, will it take an investment in Japan to double its value if the interest is compounded every six months? Please round the answer to the nearest year. Country U.S. Japan Canada Korea Australia Yield 5.3% 1.5% 5.2% 5.4% 6.0%

Convert the exponential function to the form indicated. Round all coefficients to four significant digits.

Graph the function.

How long, to the nearest year, will it take an investment in Canada to double its value if the interest is compounded every six months? Please round the answer to the nearest year. Country U.S. Japan Canada Korea Australia Yield 5.3% 1.5% 5.2% 5.4% 6.0% t = __________ year(s)