Question

Vera uploaded a hilarious video to a funny videos website.
\[V(t)\] models the number of views the video got as a function of time
\[t\] (in hours).
\[t\]
\[5\]
\[10\]
\[20\]
\[V(t)\]
\[70\]
\[180\]
\[500\]
When did the number of views increase faster?
Choose 1 answer:
A
Between
\[5\] and
\[10\] hours since Vera uploaded the video
B
Between
\[10\] and
\[20\] hours since Vera uploaded the video
C
The number of views increased at the same rate over both intervals

Answer 1

Compute the average rates:
- From 5 to 10 hours: (180 − 70) / (10 − 5) = 110 / 5 = 22 views/hour.
- From 10 to 20 hours: (500 − 180) / (20 − 10) = 320 / 10 = 32 views/hour.

Since 32 > 22, the views increased faster between 10 and 20 hours. Answer: B.