Advanced Math practice question

Answer: A. y = 300(0.85)ᵗ

Exponential decay has the form y = a · bᵗ with a base b between 0 and 1: each step multiplies by a factor less than 1, so the value shrinks by a fixed percentage. 0.85 fits.

Why the other answers are wrong

B. y = 300(1.15)ᵗ

A base of 1.15 is greater than 1, so the value grows by 15% each step — exponential GROWTH.

C. y = 300 − 0.85t

300 − 0.85t decreases, but by a fixed amount each step. That's linear, not exponential.

D. y = 300t²

300t² has t in the base, not the exponent, and it increases. It's quadratic.

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