The population of rabbits is modeled by the exponential function
where R(t) is the population at time t in years.
1
Question 1
1.
What is the initial population of the rabbits in this model?
_______ rabbits
1
1
Question 3
3.
Determine the annual growth rate of the rabbit's population.
_______ %
1
1
Question 6
6.
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 _______ people.
Question 7
7.
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?
$_______
Question 8
8.
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?
Question 9
9.
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?
1
Question 10
10.
Write the exponential equation as a logarithmic equation.
1
Question 11
11.
Write the exponential equation as a logarithmic equation.
1
1
1
Question 14
14.
Evaluate the value of
1
Question 15
15.
Evaluate the value of
1
Question 16
16.
Evaluate the value of
1
1
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?
1
Question 19
19.
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?
_______ years
Question 2
2.
Does this model growth or decay?
Question 4
4.
Rounding to the nearest rabbit, how many rabbits will there be after 3 years?
About _______ rabbits.
Question 5
5.
How long do you think it will take for the rabbit population to double from the initial amount?
Justify your answer.
Question 12
12.
Write the logarithmic equation as an exponential equation.
Question 13
13.
Write the logarithmic equation as an exponential equation.