## pottersheep 2 years ago Intro to rates of change...How do I do this FIRST question? lol :( (see attatched)

1. pottersheep

2. pottersheep

We only learned power rule

3. abb0t

rate of change is: $\frac{ \Delta b }{ \Delta t } = \frac{ db }{ dt }$ where b = change in number of bacteria

4. pottersheep

oh we didnt learn that dbthing yet

5. pottersheep

wait thats ust slope?

6. pottersheep

*jsut

7. abb0t

$\frac{ db }{ dt }$ 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

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

Ohh ok thank you

10. pottersheep