The following table shows the approximate average household income in the United States in 1990, 1995, and 2003.

mattgondek4 2020-12-24 Answered

The following table shows the approximate average household income in the United States in 1990, 1995, and 2003. (t=0 represents 1990.)
t(Year)0513H(Household Income in $1,000)303543
Which of the following kinds of models would best fit the given data?
Explain your choice of model. ( a, b, c, and m are constants.)
a) Linear: H(t)=mb + b
b) Quadratic: H(t)=at2 + bt + c
c) Exponential: H(t)=Abt

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Talisha
Answered 2020-12-25 Author has 93 answers

Step 1
Plot the points on acoordinate system.
Scetching the various models and their characteristics (see below), we find that the linear model would be best for this data set.
image
image
image
Step 2
not exponential, because the rate of rising does not seem to change.
Not quadratic, because there are no "dips" or "bulges" to account for minimum/maximum values.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2020-11-03

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
India, A=1173.1e0.008t
Iraq, A=31.5e0.019t
Japan, A=127.3e0.006t
Russia, A=141.9e0.005t

asked 2021-02-25
The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.
(a) Find a function that models the population t years after 1990.
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.
asked 2021-05-13
The table shows the number of employees at a software company in various years.
Years Since 2000 4 6 8 10 Number of Employees 32 40 75 124
Use your calculator to find an exponential equation that models the growth of the company.
asked 2021-09-22
Find the exponential model y=aebx that fits the points (0, 2) and (4, 3)
asked 2020-12-02
The original number of bacteria found present in a body was 160. Now, after a period of 9 hours, the body has a count of 920 bacteria. Write the exponential equation that models the growth of the bacteria.
asked 2021-06-14
Find a recursive rule that models the exponential growth of y=2(1.08)t
asked 2021-05-04
You decide to start saving pennies according to the following pattern. You save 1 penny the first day, 2 pennies the second day, 4 the third day, 8 the fourth day, and so on. Each day you save twice the number of pennies you saved on the previous day. Write an exponential function that models this problem. How many pennies do you save on the thirtieth day?