% growth/decay
A = A₀(1± r)
A: final quantity
A₀: initial quantity
r: growth/decay rate (express as a decimal)
doubling
A = A₀(2)ᵗ/ᵈ
A: final quantity
A₀ : initial quantity
t: time passed
d: doubling time (how long it takes to double)
half life
A = A₀(1/2) ᵗ/ʰ
A: final quantity
A₀ : initial quantity
t: time passed
h: half life (how long it takes to half in quantity
extraneous root
answer that throws error when plugged into the question
Cannot log 0 or a negative numbers → sub answers back in to check
Should be greater than 0 when checking (make expression >0 when checking and if it works then it doesn’t break the domain)