Question

6. [3/4.5 Points] DETAILS PREVIOUS ANSWERS An air freshener starts with 34 grams and then evaporates. In each of the following cases, write a formula for the quantity, Q grams, of air freshener remaining t days after the start. (a) The decrease is 2 grams per day. Q(t) = 34 - 2t (b) The decrease is 6% per day. Q(t) = 34(.94)$^t$ (c) The decrease is at a continuous rate of 7% per day. Q(t) = 34 - 34e$^{-0.06t}$

          6. [3/4.5 Points]
DETAILS
PREVIOUS ANSWERS
An air freshener starts with 34 grams and then evaporates. In each of the following cases, write a formula for the quantity, Q grams, of air freshener remaining t days after the start.
(a) The decrease is 2 grams per day.
Q(t) = 34 - 2t
(b) The decrease is 6% per day.
Q(t) = 34(.94)$^t$
(c) The decrease is at a continuous rate of 7% per day.
Q(t) = 34 - 34e$^{-0.06t}$

6. [3/4.5 Points]
DETAILS
PREVIOUS ANSWERS
An air freshener starts with 34 grams and then evaporates. In each of the following cases, write a formula for the quantity, Q grams, of air freshener remaining t days after the start.
(a) The decrease is 2 grams per day.
Q(t) = 34 - 2t
(b) The decrease is 6% per day.
Q(t) = 34(.94)^t
(c) The decrease is at a continuous rate of 7% per day.
Q(t) = 34 - 34e^-0.06t

Added by Alejandro S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Adi S

10/16/2023

Step 1

Step 1: For part (a), the equation Q(t) = 34 - 2t represents the quantity Q at time t, where the decrease is 2 grams per day. Show more…

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Thanks for your feedback!

[3/4.5 Points] (a) The decrease is 2 grams per day. Q(t) = 34 - 2t (b) The decrease is 6% per day. Q(t) = 34(0.94)^t (c) The decrease is at a continuous rate of 7% per day. Q(t) = 34e^(-0.07t)