Question

Math 8B Unit 4 Study Guide
8. At the beginning of the month a new app was launched for cell phones. The new app already had 1,500 downloads and was getting 54 new downloads a day. Meanwhile, a different app already had 750 downloads and was getting 65 new downloads each day. Write an equation to show the number of days it would take for the two apps to have the same number of downloads. Use k as your variable.

Answer 1

To find the number of days it would take for the two apps to have the same number of downloads, we can set up an equation based on the information given:

Let \( k \) represent the number of days after the beginning of the month.

1. For the new app:
- Initial downloads: 1,500
- Daily downloads: 54
- Total downloads after \( k \) days: \( 1500 + 54k \)

2. For the different app:
- Initial downloads: 750
- Daily downloads: 65
- Total downloads after \( k \) days: \( 750 + 65k \)

To find the number of days \( k \) when both apps will have the same number of downloads, we set their total downloads equal to each other:

\[
1500 + 54k = 750 + 65k
\]

This equation represents the number of days \( k \) it will take for both apps to have the same number of downloads.