Question

Determine the value of f(2) that will lead to an average rate of change of 15 over the interval [2,6]. (HELP PLEASE)

Answer 1

• Average Rate of Change/Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

$\frac{71-y}{6-2}=15$

From here we can solve for y. Firstly, solve the subtraction:

$\frac{71-y}{4}=15$

Next, multiply both sides by 4:

$71-y=60$

Next, subtact both sides by 71:

$-y=-11$

Lastly, multiply both sides by -1, and your final answer will be $y=11$ , or A.