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Mathematics, 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?

Answers

ansver
Answer from: syong
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) = 0.85^x*40

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

1:  0.85^1=0.85*40=34
2: 0.85^2=0.7225*40=28.9
3: 0.85^3=0.614125*40=24.57
4: 0.85^4= 0.52200625*40=20.88
5: 0.85^5=0.443705312*40=17.75

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.
ansver
Answer from: alexcarrasco5903

The answer is option B.

Step-by-step explanation:

ansver
Answer from: miles45

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

ansver
Answer from: bennettaly2452

WHATS THE ANSWER

A B C OR D SIR

Step-by-step explanation:

ansver
Answer from: erica11223344
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: decrease rate
 x: time in days
 Substituting values we have:
 y = 40 * (0.85) ^ x

 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
ansver
Answer from: eddyreynoso6388
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
ansver
Answer from: eternelle1182
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

Mike forgot to replace the cap on a bottle of room freshener. the room freshener began to evaporate
ansver
Answer from: berniceallonce22

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

Step-by-step explanation:


Mike forgot to replace the cap on a bottle of room freshener. the room freshener began to evaporate
Mike forgot to replace the cap on a bottle of room freshener. the room freshener began to evaporate

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