U2D5 Logarithmic Functions Jan29
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Last updated about 1 year ago
19 Nsɛmmisa
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The population of rabbits is modeled by the exponential function
where R(t) is the population at time t in years.
What is the initial population of the rabbits in this model?
Does this model growth or decay?
A town has a population of 12000 and grows at 3.5% every year.
What will be the population after 7 years, to the nearest whole number?
About
A new car is purchased for 16400 dollars. The value of the car depreciates at 12.5% per year. What will the value of the car be, to the nearest cent, after 8 years?
$
Try setting this up as an equation to solve.
9700 dollars is placed in an account with an annual interest rate of 6.25%.
How long will it take for the account value to reach 51700 dollars?
Try setting this up as an equation to solve.
An element with a mass of 300 grams decays by 5.4% per minute.
How long will it be until there are 110 grams of the element remaining?
Write the exponential equation as a logarithmic equation.
Write the exponential equation as a logarithmic equation.
Write the logarithmic equation as an exponential equation.
Write the logarithmic equation as an exponential equation.
Evaluate the value of
Evaluate the value of
Evaluate the value of
Evaluate the value of
Evaluate the value of
No base means base 10, calculator ready.
Using Log to Solve an Exponent
Example:
A town has a population of 10000 and grows at 5% every year.
To the nearest year, how long will it be until the population will reach 22000?
You Try!
4500 dollars is placed in an account with an annual interest rate of 7%. To the nearest tenth of a year, how long will it take for the account value to reach 10800 dollars?
Determine the annual growth rate of the rabbit's population.
Rounding to the nearest rabbit, how many rabbits will there be after 3 years?
About
How long do you think it will take for the rabbit population to double from the initial amount?
Justify your answer.
