How do you find the average rate of

Willie Kelley

Willie Kelley

Answered question

2022-04-14

How do you find the average rate of change of f(t)=1.1t22.5t+1.5 over the interval [3,5]?

Answer & Explanation

ti2n1i2mt0l7

ti2n1i2mt0l7

Beginner2022-04-15Added 10 answers

Explanation:
The average rate of change of a function over an interval [a,b] is the same as the slope of the line going through the points (a, f(a)) and (b, f(b)).
As an expression, this is f(b)f(a)ba.
In this case, the line goes through (3, 3.9) and (5, 16.5). Thus, the average rate of change of f(x) over the interval [3,5] is equal to 16.53.953=6.3

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