SOLUTION: Please check my work, thank you.
Exponential Functions
Question 1:
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Ex
Algebra ->
Quadratic Equations and Parabolas
-> SOLUTION: Please check my work, thank you.
Exponential Functions
Question 1:
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Ex
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Question 193390: Please check my work, thank you.
Exponential Functions
Question 1:
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
Yes, they can also model decay, for example you can use them to model the decay of radioactivity. The only difference is that there will be a negative index.
Example of function for growth: y=ae^(kt)
Example of function for decay: y=ae^(-kt)
Question 2:
A Cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
Growth formula:
A(t) = A(o)(2)^(t/4) where t is number of minutes after t = 0
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A(300) = 1*2^(300/4)
A(300) = 2^(75)
A(300) = 3.77x10^22 cells Answer by yuendatlo(23) (Show Source):