Question

The average low temperature by month in Nashville is represented by the function
f(x)=-1.4x2 + 19x +1.7, where x is the month. Find the average rate of change from March to
August.

Answer 1

Answer:

33

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function  f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx  = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get  the average rate of change from March to  August as shown;

d[f(x)]/dx  at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

Hence the average rate of change from March to August is 33