\(A=A_o e^{kt}\)

Where, \(A_o\)=original amount of decay or growth at time \(t=0\)

\(A=\) amount of growth or decay at time t

Question

asked 2021-05-18

From 2000 - 2010 a city had a 2.5% annual decrease in population. If the city had 2,950,000 people in 2000, determine the city's population in 2008.

a) Exponential growth or decay:

b) Identify the initial amount:

c) Identify the growth/decay factor:

d) Write an exponential function to model the situation:

e) "Do" the problem.

a) Exponential growth or decay:

b) Identify the initial amount:

c) Identify the growth/decay factor:

d) Write an exponential function to model the situation:

e) "Do" the problem.

asked 2021-06-22

Tell whether the function represents exponential growth or exponential decay. Explain.

\(\displaystyle{y}={2}{\left({2.1}\right)}^{{x}}\)

\(\displaystyle{y}={2}{\left({2.1}\right)}^{{x}}\)

asked 2021-05-05

Tell whether the function represents exponential growth or exponential decay. Explain.

\(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{\left({1.01}\right)}^{{x}}\)

\(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{\left({1.01}\right)}^{{x}}\)

asked 2021-06-21

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. y=220(1.06)^x