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

Exponential Function Solution Equation - Decay (Discrete) - Scenario ...

A toxin starts at a concentration of 900mg/L. Each hourly dialysis reduces it by 6%. After a certain number of hours it has decreased to a concentration of 747mg/L.

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

a $A LaTex expression showing t = \ln{\frac{747 over 900 }}{\ln{(1+0.06)}}$

b $A LaTex expression showing t = \ln{\frac{747 over 900 }}{\ln{(1-0.06)}}$

A bird population starts at 900. Each subsequent year it declines by 6%. After a certain number of years it has decreased to a population of 795.

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

a $A LaTex expression showing t = \ln{\frac{795 over 900 }}{\ln{(1-0.06)}}$

b $A LaTex expression showing t = \frac{\ln{795 times 900}}{\ln{(1-0.06)}}$

c $A LaTex expression showing t = \ln{\frac{795 over 900 }}{\ln{(1+0.06)}}$

A charitable endowment starts with $300. Each weekly it disburses 4% of its remaining funds. After a certain number of weeks its funds have decreased to $244.

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

a $A LaTex expression showing t = \ln{\frac{244 over 300 }}{\ln{(1+0.04)}}$

b $A LaTex expression showing t = \frac{\ln{244 times 300}}{\ln{(1-0.04)}}$

c $A LaTex expression showing t = \ln{\frac{244 over 300 }}{\ln{(1-0.04)}}$

A toxin starts at a concentration of 500mg/L. Each weekly dialysis reduces it by 3%. After a certain number of weeks it has decreased to a concentration of 380mg/L.

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

a $A LaTex expression showing t = \ln{\frac{380 over 500 }}{\ln{(1-0.03)}}$

b $A LaTex expression showing t = \ln{\frac{380 over 500 }}{\ln{(1+0.03)}}$

A toxin starts at a concentration of 500mg/L. Each weekly dialysis reduces it by 4%. After a certain number of weeks it has decreased to a concentration of 391mg/L.

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

a $A LaTex expression showing t = \ln{\frac{391 over 500 }}{\ln{(1-0.04)}}$

b $A LaTex expression showing t = \ln{\frac{391 over 500 }}{\ln{(1+0.04)}}$

A whale population starts at 600. Each subsequent year it declines by 7%. After a certain number of years it has decreased to a population of 518 whales.

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

a $A LaTex expression showing t = \ln{\frac{518 over 600 }}{\ln{(1-0.07)}}$

b $A LaTex expression showing t = \frac{\ln{518 times 600}}{\ln{(1-0.07)}}$

A toxin starts at a concentration of 900mg/L. Each monthly dialysis reduces it by 7%. After a certain number of months it has decreased to a concentration of 626mg/L.

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

a $A LaTex expression showing t = \ln{\frac{626 over 900 }}{\ln{(1+0.07)}}$

b $A LaTex expression showing t = \ln{\frac{626 over 900 }}{\ln{(1-0.07)}}$

A charitable endowment starts with $600. Each daily it disburses 8% of its remaining funds. After a certain number of days its funds have decreased to $334.

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

a $A LaTex expression showing t = \ln{\frac{334 over 600 }}{\ln{(1+0.08)}}$

b $A LaTex expression showing t = \frac{\ln{334 times 600}}{\ln{(1-0.08)}}$

c $A LaTex expression showing t = \ln{\frac{334 over 600 }}{\ln{(1-0.08)}}$

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

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