Activity:
Read the information below and do the three problems that follow. When done pu...
Mathematics, 18.04.2020 20:47 mahmudabiazp3ekot
Activity:
Read the information below and do the three problems that follow. When done put you answers in the drop box with a short explanation of how you did them.
Exponential Growth / Decay
Exponential Functions take the form:
y = abx. Where a = initial investment/payment (y – intercept)
b = rate of return or interest
x = term in cycles (minutes, days, months, etc)
When b > 1 then this is a growth function. When 0 < b < 1 then this is a decay function.
Growth function example
Decay function example
1. You start an account with $500 and an interest rate of 6% compounded yearly. How
much is in the account after 3 years?
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:
2. You start an account with $2500 and an interest rate of 6.5% compounded yearly. How
much is in the account after 7 years?
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:
Remember: 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:
3. A newly hatched channel catfish typically weighs about 0.06 gram. During the first 6
weeks of life, its weight increases by about 10% each day. Write a function to model the
situation. How much does the catfish weigh after 6 weeks?
Answers: 2
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