Question

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains t days after it has begun being used.

Answer 1

Q = 30 (0.88)^t 

Hope this helps :)

Answer 2

The amount of grams of freshener remains after 't' days can be expressed as: $Q = (0.88)^{t}$ as per exponential decay.

What is decay factor?

"Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

It can be expressed as: y = a(1 - b)ˣ

Wherein 'y' is the final amount, 'a' is the original amount, 'b' is the decay factor, and 'x' is the amount of time that has passed."

Given, a = 30 grams

b = 12% = 0.12

x = t

y = Q

Therefore, $Q = (1 - 0.12)^{t}$

⇒ $Q = (0.88)^{t}$

Learn more about exponential decay here: https://brainly.com/question/4840025

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