BolkowN
2021-07-03
Answered

How can you determine whether a linear, exponential, or quadratic function best models data?

You can still ask an expert for help

Arham Warner

Answered 2021-07-04
Author has **102** answers

If the 1st differences of consecutive y-values are constant or very nearly constant then a linear model will probably fit well.

If the 1st differences are not constant then use those numbers to find the 2nd differences. If they are constsnt or nearly constant then a quadratic model will probably fit well/

If the ratios of consecutive y-values are constant or very nearly constant then an exponential model will likely work well.

If the 1st differences are not constant then use those numbers to find the 2nd differences. If they are constsnt or nearly constant then a quadratic model will probably fit well/

If the ratios of consecutive y-values are constant or very nearly constant then an exponential model will likely work well.

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,

Iraq,

Japan,

Russia,

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.

(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 2021-09-10

You open a bank account to save for college and deposit $400 in the account. Each year, the balance in your account will increase $5\mathrm{\%}$ . a. Write a function that models your annual balance. b. What will be the total amount in your account after 7 yr? Use the exponential function and extend the table to answer part b.

asked 2020-11-08

Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times the number of hosts in the preceding year. In 1995, the number of hosts was 8.2 million.

(a) Explain why the number of hosts is an exponential function of time. The number of hosts grows by a factor of -----? each year, this is an exponential function because the number is growing by ------? decreasing constant increasing multiples.

(b) Find a formula for the exponential function that gives the number N of hosts, in millions, as a function of the time t in years since 1995.

(c) According to this model, in what year did the number of hosts reach 49 million?

(a) Explain why the number of hosts is an exponential function of time. The number of hosts grows by a factor of -----? each year, this is an exponential function because the number is growing by ------? decreasing constant increasing multiples.

(b) Find a formula for the exponential function that gives the number N of hosts, in millions, as a function of the time t in years since 1995.

(c) According to this model, in what year did the number of hosts reach 49 million?

asked 2021-09-23

When is the exponential population model appropriate? When is the logistic population model appropriate? When is an Allee model appropriate? Discuss the benets of each of these models and their drawbacks.

asked 2021-05-12

What function models exponential decay?

A.$y=-3{\left(\frac{1}{2}\right)}^{x}$

B.$y=-\left(\frac{1}{2}\right){\left(3\right)}^{x}$

C.$y=\left(\frac{1}{2}\right){\left(3\right)}^{x}$

D.$y=3{\left(\frac{1}{2}\right)}^{x}$

A.

B.

C.

D.

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.