a table of values, rounded to the nearest hundredth, for the function $y = sqrt3{x}$ is given for $0leq…

a table of values, rounded to the nearest hundredth, for the function $y = sqrt3{x}$ is given for $0leq xleq8$. what is the average rate of change of the function over the interval $2,7$ to the nearest hundredth?\n|$x$|$y$|\n|----|----|\n|0|0.00|\n|1|1.00|\n|2|1.26|\n|3|1.44|\n|4|1.59|\n|5|1.71|\n|6|1.82|\n|7|1.91|\n|8|2.00|\n0.65\n1.62\n0.35\n0.13

a table of values, rounded to the nearest hundredth, for the function $y = sqrt3{x}$ is given for $0leq xleq8$. what is the average rate of change of the function over the interval $2,7$ to the nearest hundredth?\n|$x$|$y$|\n|----|----|\n|0|0.00|\n|1|1.00|\n|2|1.26|\n|3|1.44|\n|4|1.59|\n|5|1.71|\n|6|1.82|\n|7|1.91|\n|8|2.00|\n0.65\n1.62\n0.35\n0.13

Answer

Answer:

0.13

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify $a$, $b$, $f(a)$ and $f(b)$

Here, $a = 2$, $b = 7$, $f(2)=1.26$, $f(7)=1.91$.

Step3: Calculate the average rate of change

$\frac{f(7)-f(2)}{7 - 2}=\frac{1.91 - 1.26}{5}=\frac{0.65}{5}=0.13$