Question 1128639
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Air freshener A loses 3.8g of its weight each day.<br>
Air freshener B loses 3.8% of its weight each day.  With a starting mass of 48g, that is less than 2g the first day, which is less than A loses the first day; and each day after that it loses less than the previous day.  So the remaining mass of B will always be greater than the remaining mass of A.<br>
A. {{{A(t) = 48-3.8t}}}
B. {{{B(t) = 48(1-.038)^t}}}<br>
A graph; A(t) red; B(t) green....<br>
{{{graph(400,400,-2,100,-2,50,48-3.8x,48(1-.038)^x)}}}<br>
C.<br>
1 and 2 are clearly false; B always has a mass greater than A.
4 is true.
Mathematically, 3 is false.  Realistically, however, the last molecule of B will eventually break apart (or whatever it does), and the mass of B WILL reach 0.<br>
So, mathematically, the answer for C is #4.