A
A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?
He's Bald
The population of rabbits doubles every 6 months. If there are initially 100 rabbits, how many will there be after 2 years? Applications of Exponential Growth and Decay
1600
I turn once, what is out will not get in. I turn again, what is in will not get out. What am I?
A Key
Give an example of an application of exponential functions.
One example of an application of exponential functions is compound interest, where the amount of money in an investment grows exponentially over time.
Write the general notation for an exponential function.
The general notation for an exponential function is f(x) = a * b^x, where a is the initial value, b is the base, and x is the input variable.
The value of a smartphone depreciates at a rate of 15% per year. If the initial value is $1,000, find the smartphone's value after 3 years.
614.125
The value of a computer depreciates at a rate of 8% per year. If the initial value is $2,500, find the computer's value after 7 years.
1394.62
The population of a city is currently 500,000, and it is growing exponentially at a rate of 3% per year. Estimate the population after 20 years.
903,055.62
Medication has a half-life of 6 hours. If a patient is given a 200 mg dose, how much will remain in their system after 24 hours?
12.5