Leaves were falling off a tree at an exponential rate beginning oct.1, on the 10th there were 5287 leaves. on the 21st there were 692 leaves
y=ae^kt

a) find k (constant of proportionality)

b) how many leaves were there on the tree before it started losing leaves?

c) on what date was there only one leaf?

any insight is appreciated

lemme use a slightly different equation, just the variables differ, but is basically the same you have there.

A)

B)

and we can round that up to a whole leaf of 6361, or truncate it to 6360, chances are is the latter.

C)

and we can round that up to 47 days even.

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.