Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.
If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener 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 x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
graph of function f of x equals 50 multiplied by 0.82 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
graph of function f of x equals 30 multiplied by 0.88 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
graph of function f of x equals 50 multiplied by 0.82 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
1 answer:
The decay rate is 100% - 15% = 75% = 0.75
The decay equation is f(x) = 40(0.75)ˣ
Where f(x) is the mass of air freshener left after x days of use
The graph of this function is given below
The correct description of the graph is statement 2:
<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
The decay equation is f(x) = 40(0.75)ˣ
Where f(x) is the mass of air freshener left after x days of use
The graph of this function is given below
The correct description of the graph is statement 2:
<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
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Sorry it’s not that neat but I think the answer would be in the exact surd form root 233
