Question

Please help ASAP with math question?

Answer 1

Choice D

Explanation:

The average rate of change over the interval [2,6] is simply the slope of the line that joins the points (2,f(2)) and (6,f(6)). To determine f(2) we shall thus be solving the equation;

`(f(6)-f(2))/(6-2)=15\\(71-f(2))/(4)=15\\71-f(2)=60\\f(2)=71-60=11`

Answer 2

D.
`11`

Explanation:

If the average rate of change on the interval [2,6] is 15 then;

`(f(2)-f(6))/(2-6)=15`

`(f(2)-71)/(-4)=15`

Multiply both sides by -4.

`f(2)-71=15* -4`

`f(2)-71=-60`

Group similar terms;

`f(2)=-60+71`

Simplify;

`f(2)=11`