What is the average rate of change in f(x) over the interval [4,13]?

Asked by maham237 @ 28/11/2020 in Mathematics viewed by 311 People

a. 1/3
b.4/13
c. 11/13
d.11/8

Answered by maham237 @ 28/11/2020

we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

$A=\frac{(f(b)-f(a))}{(b-a)}$

in this problem

$a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11$

substitute the values in the formula above

$A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9}$

Divide by $3$ both numerator and denominator

$A=\frac{1}{3}$

therefore

the answer is

$\frac{1}{3}$

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