Question

100 POINTS!!!!!!!!!!!!!!!!

Two software companies are planning to launch a learning application on the same day.

Company A predicts that their application will be downloaded 400 times on the first day and that the number of downloads will increase at a rate of 50% per day. This relationship is represented by function f below, where x is the number of days since the launch of the application.

f(x) = 400(1.5)^x

Company B predicts that their application will be downloaded 500 times on the first day and that the number of downloads will increase at a rate of 40% per day. This relationship is represented by function g below, where x is the number of days since the launch of the application.

g(x) = 500(1.4)^x

Both companies record their number of downloads from the release until 4 days after the release.

Company A had 450 downloads on the first day, and the number of downloads increased at a rate of 25% per day. Company B had 400 downloads on the first day, and the number of downloads increased at a rate of 60% per day.

Use the information above to complete the given statements.

Answer 1

The change, from the predicted data to the actual data, in the average number of downloads of the application for Company A from the day the application was launched to 4 days after the application was launched would decrease by approximately 244 downloads per day.

The change, from the predicted data to the actual data, in the average number of downloads of the application for Company B from the day the application was launched to 4 days after the application was launched would increase by approximately 174 downloads per day.

Based on this information, Company B made a more accurate prediction of the average number of downloads of the application per day.