In this worksheet, we will practice setting up and solving exponential growth and decay equations and interpreting their solutions.
The population, , of a city in year is given by the formula . Determine the year in which the population of the city was 8 million.
Bassem invests in a savings account. After ten years, the value of his investment had doubled. What was the annual rate of interest? Give your answer to one decimal place.
A population of bacteria in a petri dish hours after the culture has started is given by . Sarah says this means that the growth rate is per hour. Her friend Engy, however, says that the hourly growth rate is . Who is right?
The value of a car falls by over 2 years. By considering a suitable exponential function, find the equivalent annual rate of depreciation that would produce the same fall in value over two years.
The given figure shows the concentration , in micrograms per liter, of a certain drug in human blood plasma measured at different times. Considering that the concentration after hours can be modeled with the function , by what percentage does the drug’s concentration decrease every hour?
A car’s value depreciates by every year. A new car costs .
Write a function that can be used to calculate , the car’s value in dollars, after years.
What is the value of for which the car’s value will be halved in 3 years? Give your answer to the nearest whole number.