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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

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  1. anonymous
    • one year ago
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    @Astrophysics

  2. Astrophysics
    • one year ago
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    Rate of change is just the slope

  3. anonymous
    • one year ago
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    SO,

  4. Astrophysics
    • one year ago
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    \[rate~of~change = \frac{ f(b)-f(a) }{ b-a }\]

  5. Astrophysics
    • one year ago
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    so find f(b) and f(a) where a = 12, and b = 15

  6. jdoe0001
    • one year ago
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    \(\bf slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\qquad thus \\ \quad \\ \cfrac{{\color{blue}{ f(15)}-{\color{blue}{ f(12)}}}}{{\color{red}{ 15-{\color{red}{ 12}}}}}\impliedby \textit{rate of change}\)

  7. Astrophysics
    • one year ago
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    |dw:1436397137594:dw|

  8. Astrophysics
    • one year ago
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    For a better understanding

  9. anonymous
    • one year ago
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    3?

  10. Astrophysics
    • one year ago
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    Is that \[f(x) = 0.1(2)^x~~~~\text{or}~~~f(x) = 0.1(2)x\]

  11. Astrophysics
    • one year ago
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    I'm assuming it's exponent and no you're wrong

  12. Astrophysics
    • one year ago
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    \[f(15) = 0.01(2)^{15}\]

  13. Astrophysics
    • one year ago
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    \[f(12) = 0.01(2)^{12}\]

  14. Astrophysics
    • one year ago
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    \[rate~of~change = \frac{ 0.01(2)^{15}-0.01(2)^{12} }{ 15-12 }\]

  15. anonymous
    • one year ago
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    286.72?

  16. Astrophysics
    • one year ago
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    No :\, please just use a calculator

  17. Astrophysics
    • one year ago
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    You need to divide by 3

  18. anonymous
    • one year ago
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    i did

  19. anonymous
    • one year ago
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    wait let me see

  20. Astrophysics
    • one year ago
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    What did you get?

  21. anonymous
    • one year ago
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    i 95.57

  22. Astrophysics
    • one year ago
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    Yup!

  23. Astrophysics
    • one year ago
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    Make sure you understand what we did though

  24. Astrophysics
    • one year ago
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    Once again this is just the slope, the image should show you what it means |dw:1436398295490:dw|

  25. anonymous
    • one year ago
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    oh ok thank you!!! can you help me with two more?

  26. anonymous
    • one year ago
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    @Sarcasmus

  27. anonymous
    • one year ago
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    Which 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)

  28. anonymous
    • one year ago
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    @muscrat123

  29. anonymous
    • one year ago
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    @muscrat123

  30. anonymous
    • one year ago
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    @muscrat123

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