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.

Question

22-05-2018
Mathematics

contestada

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.

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CastleRook CastleRook · Answer 1 · 2018-06-01T11:40:15+02:00

Given that the predicted function for company A was:
f(x)=400(1.5)^x
the number of downloads after 4 days would be:
f(x)=400(1.5)^4=2025

Given that the actual function was:
f(x)=450(1.25)^4
the number of downloads after 4 days was:
f(4)=450(1.25)^4=1098.6~1099
the difference is:
2025-1099=924
the decrease per day was approximately 926/4=231.5
which is closer to 244

Given that the predicted function for company B was:
g(x)=500(1.4)^x
number of downloads after 4 days
g(4)=500(1.4)^4=1920.8~1921

Given that the actual function was:
g(x)=400(1.6)^x
number of days was:
g(4)=400(1.6)^4=2621.44~2621
the difference
2621-1921=700
growth per day
700/4=175
which is closer to 174
thus the answer is:
The change, from predicted data, in the average number of downloads of the application for company A from 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 actual data, in average number of downloads of the application for company B from the day the application was launched to 4 days after the application launched would increase by approximately 174 downloads per day.

Based on this information company B made more accurate prediction of the average of downloads of the application per day.