, 15.07.2019 19:00 ggjhuvth

# 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?

Percentages are out of 100. So we'll multiply by 0.85 to represent the 15%

To find the y points on the graph we can use f(x) =

We'll input 1-5 for x to find y:

1:
2:
3:
4:
5:

Therefore the answer is a graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x-axis.

Step-by-step explanation:

going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

A B C OR D SIR

Step-by-step explanation:

For this case we have a function of the form:

Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:

Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.

graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x    y
1   34
2   28.9
3   24.57
4   20.88
5   17.75

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
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:

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

the answer is b, I just graphed the equation from the other answer. the y intercept is 40,

Step-by-step explanation:

### Other questions on the subject: Mathematics

Mathematics, 21.06.2019 12:30, edna27
(note i put the graph in so plz )the graph shows the amount of water that remains in a barrel after it begins to leak. the variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. what is the slope of the line