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In this lesson, we will learn how to set up and solve exponential growth and decay equations and how to interpret their solutions.
Is the exponential function
growing or decaying?
, of a city in year
is given by the
. 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
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
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.
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