Question

Please help ASAP with math question?

Answer 1

Answer:

D. $11$

Step-by-step explanation:

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

$\frac{f(2)-f(6)}{2-6}=15$

$\frac{f(2)-71}{-4}=15$

Multiply both sides by -4.

$f(2)-71=15\times -4$

$f(2)-71=-60$

Group similar terms;

$f(2)=-60+71$

Simplify;

$f(2)=11$

Answer 2

Answer:

Choice D

Step-by-step 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;

$\frac{f(6)-f(2)}{6-2}=15\\\frac{71-f(2)}{4}=15\\71-f(2)=60\\f(2)=71-60=11$