A marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by

$\displaystyle {f{{\left({t}\right)}}}={600}+{285}{{\log}_{{{5}}}{\left({t}\right)}}$

where $\displaystyle {t}$ is the number of days since the release.

Determine $\displaystyle {f}'{\left({t}\right)}=$ Preview Question 6 Part 1 of 4  

$\displaystyle {f}'{\left({15}\right)}=$ Preview Question 6 Part 2 of 4  

Which of the following is the best interpretation of $\displaystyle {f{{\left({15}\right)}}}={1080}$?
Select an answer After 2 days, there are 723 references. After 15 days, there are 1080 references. After 1080 days, there are 15 references. After 2 days, 723 products are sold. On day 1080, 15 products are sold. After 15 days, 1080 products are sold.

Which of the following is the best interpretation of $\displaystyle {f}'{\left({4}\right)}={44}$?
Select an answer After 4 days, 1080 products are sold. On day 2, 723 products are sold. After 2 days, there are 723 references. After 1080 days, 4 products are sold. After 4 days, there are 44 references. After 44 days, the number of references is increasing by 4 per day After 4 days, the number of references is increasing 44 per day.