## anonymous one year ago FAN MEDAL INSTAGRAM For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15.

1. jdoe0001

$$\bf {\color{blue}{ f(x)}}=0.01(2)^{\color{red}{ x}}\qquad \qquad slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\qquad thus \\ \quad \\ \cfrac{{\color{blue}{ f(15)}}-{\color{blue}{ f(12)}}}{{\color{red}{ 15}}-{\color{red}{ 12}}}\impliedby \textit{rate of change}$$

2. anonymous

So 3? @jdoe0001

3. jdoe0001

hmm what did you get for the numerator?

4. anonymous

3

5. anonymous

Answers 3 40.96 95.57 286.72

6. jdoe0001

well, the numerator is not 3, so.. check your functions again

7. anonymous

15-12 over 15-12 so it would be 3 right

8. jdoe0001

that's the denominator, yes, you'd need to get the numerator, and simplify the rational

9. anonymous

but how @jdoe0001

10. jdoe0001

notice the function, the function is f(x), x turns to 12, solve it x turns to 15, solve that, subtract one from the other

11. anonymous

Oh so is the answer c?