Confused About Average Rate

[timber barn]

Thing is I know the Average is c/t but im confused on why the average is c/t. Can someone explain it

[uneven hound]

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[hot valley]

By definition, the average rate of change of c is Δc/Δt. Since c(0) = 0 and we start at t = 0, that's equal to c/t.

[timber barn]

i still lost

so where you start is always the denominator?

[hot valley]

No.
Here the starting time is t = 0, and the starting rate is also c = 0. So, Δc = c - c0 = c and Δt = t - t0 = t.

[timber barn]

wait what does triangle c and triangle t mean 😭

tysm for helping me btw

[hot valley]

Delta, not triangle.
Delta is usually used to show the change of something. So, Δx = x(final) - x(initial).