Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the ori

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Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the ori

ginal amount of deodorant in the bottle was 30 grams, which of the following graphs best represents the amount of deodorant f(x) that would remain in the bottle after x days?graph of function f of x equals 30 multiplied by 0.88 to the power of xgraph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axisgraph of function f of x equals 50 multiplied by 0.82 to the power of xgraph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis

Mathematics

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-04-01T12:18:29+03:00

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

$y=a(1-r)^x$

Where $a$ signifies the starting quantity ( $a=30$ ), $r$ is the decay rate ( $r=0.12$ ) and $x$ denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

$y=30(1-0.12)^x\\y=30(0.88)^x$

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".