157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to spread in the town, the percent of the population infected by the flu is approximated by: p(t) =r² +t for 0st. a. Find the average rate of change of p with respect to t over the interval from 1 to 4 days. b. Find and interpret the instantaneous rate of change of p with respect to t at F3.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to
spread in the town, the percent of the population infected by the flu is approximated by:
p(t) =r² +t for 0st.
a. Find the average rate of change of p with respect to t over the interval from 1 to 4
days.
b. Find and interpret the instantaneous rate of change of p with respect to t at F3.
Transcribed Image Text:157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to spread in the town, the percent of the population infected by the flu is approximated by: p(t) =r² +t for 0st. a. Find the average rate of change of p with respect to t over the interval from 1 to 4 days. b. Find and interpret the instantaneous rate of change of p with respect to t at F3.
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