Edmentum Integrated Math1 Unit 5 Activity: Writing Exponential Functions

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A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of views for one of the company’s online videos. The results of the first 5 weeks are shown in this table.

Weeks, x Views, f(x)
0 5,120
1 6,400
2 8,000
3 10,000
4 12,500
5 15,625

Write an equation to model the relationship between the number of weeks, x, and the number of views, f(x).

Enter the correct answer in the box by replacing the values of a and b.

During this same time, the digital print manager tracked the number of visits to the website’s homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Write an equation to model the relationship between the number of weeks, x, and the number of site visits, f(x).

Enter the correct answer in the box by replacing the values of a and b.

During their team meeting, both managers shared their findings. Complete the statement describing their combined results.

Select the correct answer from each drop-down menu.

The initial number of video views was
more than
the initial number of site visits, and the number of video views grew by
a smaller factor than
the number of site visits.

The difference between the total number of site visits and the video views after 5 weeks is
20,825.

An industrial copy machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). After going through the copy machine once, the length is 12, represented by the point (1,12).

Enter the correct answer in the box by replacing the values of a and b.

Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.

Both copy machines reduce the dimensions of images that are run through the machines. Which statement is true about the results of using these copiers?

As the number of copies increases, the dimensions of the images continue to decrease toward, but never reach, 0.
As the number of copies increases, the dimensions of the images continue to increase until reaching 8.
As the number of copies increases, the dimensions of the images continue to increase toward, but never reach, positive infinity.
As the number of copies increases, the dimensions of the images continue to decrease until reaching 0.