Question

A music streaming platform used data to calculate the model ŷ = 748.4(1.146)x, where xrepresents the number of days since a song was released and ŷ represents the predicted number of downloads. Interpret the percent rate of change of the model in the context of the problem.

For every additional day since release, the number of songs downloaded is predicted to increase by about 114.6%.
For every additional day since release, the number of songs downloaded is predicted to decrease by about 14.6%.
For every additional day since release, the number of songs downloaded is predicted to increase by about 14.6%.
For every additional day since release, the number of songs downloaded is predicted to decrease by about 114.6%.

Answer 1

@jayfafr

Answer 2

The given model ŷ = 748.4(1.146)^x represents the relationship between the number of days since a song was released (x) and the predicted number of downloads (ŷ) on a music streaming platform.

To interpret the percent rate of change of the model in the context of the problem, we look at the exponent of 1.146 in the equation. This exponent represents the growth or decay factor for each additional day since the song was released.

In this case, the exponent of 1.146 indicates that for every additional day since the song's release, the number of songs downloaded is predicted to increase by about 14.6%.

Therefore, the correct interpretation is:

- For every additional day since release, the number of songs downloaded is predicted to increase by about 14.6%.

This means that as time passes, the song is expected to gain popularity and attract more downloads, with an approximate increase of 14.6% for each day that goes by since its release

Answer 3

Thank you!