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pottersheep

  • one year ago

Intro to rates of change...How do I do this FIRST question? lol :( (see attatched)

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  1. pottersheep
    • one year ago
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  2. pottersheep
    • one year ago
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    We only learned power rule

  3. abb0t
    • one year ago
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    rate of change is: \[\frac{ \Delta b }{ \Delta t } = \frac{ db }{ dt }\] where b = change in number of bacteria

  4. pottersheep
    • one year ago
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    oh we didnt learn that dbthing yet

  5. pottersheep
    • one year ago
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    wait thats ust slope?

  6. pottersheep
    • one year ago
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    *jsut

  7. abb0t
    • one year ago
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    \[\frac{ db }{ dt }\] is the derivative, which can be thought of as how much one quantity is changing in response to changes in some other quantity. in this case, it is the change in bacteria amount over time. \[\frac{ \Delta b }{ \Delta t }\] is the same thing, just different notation. \[\Delta = change\] the triangle greek symbol means change. The derivative also represents the slope as you mentioned. It is the tangent line to a particular function, which takes the form: \[\frac{ \Delta y }{ \Delta x } = \frac{ y_2 - y_1 }{ x_2 - x_1 } = m = slope\]

  8. abb0t
    • one year ago
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    I thought this was for a calculus course which is why I mentioned derivatives, but you can ignore the db/dt stuff. You mentioned power rule and I thought of something else. My bad. I didn't mean to confuse you.

  9. pottersheep
    • one year ago
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    Ohh ok thank you

  10. pottersheep
    • one year ago
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    Thanks for your help!

  11. abb0t
    • one year ago
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    No problem. Good luck.

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