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NNADVOKAT [17]
3 years ago
15

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 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

Mathematics
2 answers:
Darya [45]3 years ago
8 0

Answer:

1.  Graph of function f of x equals 30 multiplied by 0.88 to the power of x

Step-by-step explanation:

We are given that,

Original amount of deodorant in the bottle = 30 grams

The rate of evaporation = 12% = 0.12

That is, we see that the deodorant is decreasing as the number of days increases.

So, the function form of the decrease in the amount of deodorant is given by,

f(x)=30(1-0.12)^x, where x is the number of days.

i.e. f(x)=30(0.88)^x, where x is the number of days.

Hence, the graph representing the amount of deodorant after x number of days is,

1.  Graph of function f of x equals 30 multiplied by 0.88 to the power of x

mihalych1998 [28]3 years ago
6 0
First one

f(x) = 30(0.88)^x
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Answer:

\angle 1\ and\ \angle 3 are corresponding angles and are congruent to each other.

\angle 8\ and\ \angle 4 are alternate exterior angles and thus congruent to each other.

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Step-by-step explanation:

Given:

Line l\parallel m

Line t is traversal.

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8 0
3 years ago
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nataly862011 [7]

Answer:

1/2 <3/4

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1/2   vs 3/4

We need a common denominator of 4

1/2*2/2   vs   3/4

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2x+3y=1470
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Graphing y=- \frac{2}{3}x+490 using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
    0 = - \frac{2}{3}x+490
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The graph of this function is shown below. The intercepts are labelled at:
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-----------------------------------------------------------------------------------------------------------

Next month's profit equation

2x+3y=1593

Rewriting this into slope-equation form

3y = -2x+1593
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The gradient, m, equals to - \frac{2}{3}
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The equation still has the same gradient with last month's profit equation but different y-intercept. 

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

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Equation y = - \frac{2}{3}+300

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