Choose the correct letter. Which of the following functions models exponential decay? A.f(x)=12*3^x B. y=2*0.8^x C. y=-3x^2 D. f(x)=1.8^x

Tyra 2021-09-27 Answered

Choose the correct letter. Which of the following functions models exponential decay?

A. \(f(x)=12*3^x\)

B. \(y=2*0.8^x\)

C. \(y=-3x^2\)

D. \(f(x)=1.8^x\)

Expert Community at Your Service

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

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Lacey-May Snyder
Answered 2021-09-28 Author has 14985 answers

1. The exponential function: \(\displaystyle{y}={a}\cdot{b}^{{x}}\) is an exponential growth if \(b>1\) or is an exponential decay if 0 A:b=3
B:b=0.8
C: Not an exponential function
D:b=1.8
The answer is Choice B.

Have a similar question?
Ask An Expert
39
 

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 2021-05-12
What function models exponential decay?
A. \(\displaystyle{y}=−{3}{\left(\frac{{1}}{{2}}\right)}^{{x}}\)
B. \(\displaystyle{y}=-{\left(\frac{{1}}{{2}}\right)}{\left({3}\right)}^{{x}}\)
C. \(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{\left({3}\right)}^{{x}}\)
D. \(\displaystyle{y}={3}{\left(\frac{{1}}{{2}}\right)}^{{x}}\)
asked 2021-05-12
When a < 0 and b>1,y=abx models negative exponential growth. a. Write an exponential function that models negative growth. b. Give an example of a situation that could be modeled by your function. c. Explain one difference between negative exponential growth and exponential decay.
asked 2021-06-11
Which set of ordered pairs could be generated by an exponential function?
A. \((1, 1) (2, \frac{1}{2}) (3, \frac{1}{3}) (4, \frac{1}{4})\)
B. \((1, 1) (2, \frac{1}{4}) (3, \frac{1}{9}) (4, \frac{1}{16})\)
C. \((1, \frac{1}{2}) (2, \frac{1}{4}) (3, \frac{1}{8}) (4, \frac{1}{16})\)
D. \((1, \frac{1}{2}) (2, \frac{1}{4}) (3, \frac{1}{6}) (4, \frac{1}{8})\)
asked 2021-06-02
The table shows the populations P (in millions) of the United States from 1960 to 2000. Year 1960 1970 1980 1990 2000 Popupation, P 181 205 228 250 282
(a) Use the 1960 and 1970 data to find an exponential model P1 for the data. Let t=0 represent 1960. (c) Use a graphing utility to plot the data and graph models P1 and P2 in the same viewing window. Compare the actual data with the predictions. Which model better fits the data? (d) Estimate when the population will be 320 million.
asked 2021-06-09
Show that an exponential model fits the data. Then write a recursive rule that models the data.
n 0 1 2 3 4 5 f(n)0.75 1.5 3 6 12 24
asked 2021-06-10
Show that an exponential model fits the data. Then write a recursive rule that models the data.
n 0 1 2 3 4 5 f(n)96 54 48 24 12 6 3 ​
asked 2021-05-07
Explain when the function \(\displaystyle{y}={a}\cdot{b}^{{x}}\) models exponential growth and when it models exponential decay.
...