Exponential Function Solution Equation - Decay (Continuous) - Scenario to Time (Level 1)

Exponential Function Solution Equation - Decay (Continuous) - Scenari...

A bacteria population starts at 600. It declines continuously at 5% per month. After a certain number of months it has decreased to a population of 516 bacteria.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = -0.05 over \ln{\frac{516 {600}}}$

b $A LaTex expression showing t = +\frac{\ln{516 times 600}}{0.05}$

c $A LaTex expression showing t = -\ln{\frac{516 over 600 }}{0.05}$

A whale population starts at 200. It declines continuously at 4% per quarter. After a certain number of quarters it has decreased to a population of 145 whales.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = +\frac{\ln{145 times 200}}{0.04}$

b $A LaTex expression showing t = -0.04 over \ln{\frac{145 {200}}}$

c $A LaTex expression showing t = -\ln{\frac{145 over 200 }}{0.04}$

A radioactive material starts at an isotope concentration of 300ppm. It decays continuously at 6% per day. After a certain number of days it has decayed to an isotope concentration of 222ppm.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = -\ln{\frac{222 over 300 }}{0.06}$

b $A LaTex expression showing t = +\frac{\ln{222 times 300}}{0.06}$

A bacteria population starts at 500. It declines continuously at 2% per month. After a certain number of months it has decreased to a population of 417 bacteria.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = -0.02 over \ln{\frac{417 {500}}}$

b $A LaTex expression showing t = -\ln{\frac{417 over 500 }}{0.02}$

c $A LaTex expression showing t = +\frac{\ln{417 times 500}}{0.02}$

A radioactive material starts at an isotope concentration of 500ppm. It decays continuously at 2% per hour. After a certain number of hours it has decayed to an isotope concentration of 470ppm.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = +\frac{\ln{470 times 500}}{0.02}$

b $A LaTex expression showing t = -\ln{\frac{470 over 500 }}{0.02}$

A bird population starts at 500. It declines continuously at 7% per year. After a certain number of years it has decreased to a population of 285.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = +\frac{\ln{285 times 500}}{0.07}$

b $A LaTex expression showing t = -0.07 over \ln{\frac{285 {500}}}$

c $A LaTex expression showing t = -\ln{\frac{285 over 500 }}{0.07}$

A toxin starts at a concentration of 600mg/L. It declines continuously at 2% per month. After a certain number of months it has decreased to a concentration of 521mg/L.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = -0.02 over \ln{\frac{521 {600}}}$

b $A LaTex expression showing t = -\ln{\frac{521 over 600 }}{0.02}$

c $A LaTex expression showing t = +\frac{\ln{521 times 600}}{0.02}$

A bird population starts at 700. It declines continuously at 3% per quarter. After a certain number of quarters it has decreased to a population of 620.

Rearrange the exponential equation to solve for for the time given this scenario?

a $A LaTex expression showing t = +\frac{\ln{620 times 700}}{0.03}$

b $A LaTex expression showing t = -\ln{\frac{620 over 700 }}{0.03}$

c $A LaTex expression showing t = -0.03 over \ln{\frac{620 {700}}}$

Exponential Function Solution Equation - Decay (Continuous) - Scenario to Time

Exponential Function Solution Equation - Decay (Continuous) - Scenario to Time Worksheet