Question

A table of values, rounded to the nearest hundredth, for the function y = is given for

0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?

Answer 1

A)
`0.13`

Explanation:

If a function
`f(x)` is continuous over the interval
`[a,b]`, then the average rate of change over that interval is
`\displaystyle (f(b)-f(a))/(b-a)`:

`\displaystyle (f(b)-f(a))/(b-a)\\\\(f(7)-f(2))/(7-2)\\ \\(1.91-1.26)/(5)\\ \\(0.65)/(5)\\ \\0.13`

Thus, the average rate of change over the interval
`[2,7]` to the nearest hundredth is
`0.13`.