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anonymous
 one year ago
For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15.
3
40.96
95.57
286.72
anonymous
 one year ago
For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15. 3 40.96 95.57 286.72

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Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Rate of change is just the slope

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[rate~of~change = \frac{ f(b)f(a) }{ ba }\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1so find f(b) and f(a) where a = 12, and b = 15

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}{\color{blue}{ y_1}}}{{\color{red}{ x_2}}{\color{red}{ x_1}}}\qquad thus \\ \quad \\ \cfrac{{\color{blue}{ f(15)}{\color{blue}{ f(12)}}}}{{\color{red}{ 15{\color{red}{ 12}}}}}\impliedby \textit{rate of change}\)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436397137594:dw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1For a better understanding

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Is that \[f(x) = 0.1(2)^x~~~~\text{or}~~~f(x) = 0.1(2)x\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I'm assuming it's exponent and no you're wrong

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[f(15) = 0.01(2)^{15}\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[f(12) = 0.01(2)^{12}\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[rate~of~change = \frac{ 0.01(2)^{15}0.01(2)^{12} }{ 1512 }\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1No :\, please just use a calculator

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1You need to divide by 3

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1What did you get?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Make sure you understand what we did though

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Once again this is just the slope, the image should show you what it means dw:1436398295490:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok thank you!!! can you help me with two more?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which of the following options is an equivalent function to f(x) = 3(2)3x? f(x) = 3(8)x f(x) = 24x f(x) = 27(8)x f(x) = 3(8x)
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