Question

An air-freshener starts with 37 grams and evaporates over time. In each of the following cases, enter a formula for the quantity, Q grams, of air-freshener remaining t days after the start. (a) The decrease is 6 grams a day Q = Q (b) The decrease is 12% a day Equation Editor Common 12 Matrix E a ab TT sin(a) seca b cos(a) csc(a) cos-(a) tan(a) cot(a) tan? (a) s frox Prox va Þa al U 8 sin-'(a) Q=

Answer 1

The formula for the quantity of air-freshener remaining over time depends on the rate of decrease. When the decrease is 6 grams a day, the formula is Q = 37 - 6t. When the decrease is 12% a day, the formula is Q = 37 * (1 - 0.12)^t.

Step-by-step explanation:

The formula for the quantity, Q grams, of air-freshener remaining t days after the start when the decrease is 6 grams a day is:

Q = 37 - 6t

And the formula for the quantity, Q grams, of air-freshener remaining t days after the start when the decrease is 12% a day is:

Q = 37 * (1 - 0.12)t