Sheet #11-3
Name: ______Date: ______
Exponential Functions –Exponential RegressionAlgebra I Common Core
1 / Which of the following functions would best describe the data in the table?(1) / / (3) /
(2) / / (4) /
2W / Which function models the data in the accompanying table?
(1) / / (3) /
(2) / / (4) /
3 / Express an exponential function of the form that can be used to represent the data displayed in the chart below.
4 / Which function models the relationship shown in the table?
/ (1) /
(2) /
(3) /
(4) /
/ 5W / Write the exponential equation that matches the table of values below.
Use your equation to find the value of y when x = 11.
6W / Write an exponential equation for the graph shown below and explain how you determined the equation.
7 / A bacterial population, b(x), after x days can be represented by an exponential function who graph passes through (0, 100) and (1, 200).
Write function, b(x), that represents the population.
Find the population after 6 days.
8 / An application developer released a new app to be downloaded. The table below gives the number of downloads for the first four weeks after the launch of the app.
Write an exponential equation that models these data.
Use this model to predict how many downloads the developer would expect in the 26th week if this trend continues. Round your answer to the nearest download.
Would it be reasonable to use this model to predict the number of downloads past one year? Explain your reasoning. / 9W / A website is keeping track of the number of views on a newly released math lesson screencast. They record the total number of views as a function of the number of days since it launched, with the launch day being x = 0.
Write the exponential regression equation for this set of data, rounding all values to the nearest tenth.
What is the correlation coefficient, r, rounded to the nearest tenth? What does this suggest about the exponential equation?
10W / The area, A, of an oil spill is increasing and scientists are trying to model it as a function of time so they can predict when it reaches certain critical sizes. They measure the data and find the following.
An exponential function of the form models this data well. Write the exponential function that models the data, rounding values to the nearest hundredth if necessary.
If we consider a spread of oil over 15 square miles is considered critical, use your equation to predict which day the oil spill will reach critical levels.