Mr. Souza posted a pic of the math team on Instagram, and it has gone viral. Every day, he checks how many new comments it got. On the day he posted it (𝑡=0), the post got 10 comments. Two days later (𝑡=2), the post got 51 new comments. Five days after posting (𝑡=5), the post got 45 new comments.
Mr. Souza has reason to believe the number of new comments 𝑡 days after posting may be modeled well by 𝐶𝑡=𝑎𝑡2+𝑏𝑡+𝑐.
Explain why using the average rate of change from part C to predict the number new comments the post received for 2<𝑡<5 leads to underestimates 