The number y of perfume bottles in storage after x months is represented by the equation y=-20x+460 . Graph the equation.
1 answer:
The graph of the linear equation can be seen in the image at the end.
<h3 /><h3>How to graph the linear equation?</h3>Here we have the following linear equation:
y = -20*x + 460
To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.
To get the points, we need to evaluate the linear equation in two values of x.
if x = 0
y = -20*0 + 460
y = 460
if x = 10
y = -20*10 + 460
y = -200 + 460
y = 260
So we have the points (0, 460) and (10, 260), then the graph of the line is:
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<h2>Answer</h2>
f(x) = 190(1.15)x
<h2>Explanation</h2>To solve this, we are going to use the standard exponential function:
Where
is the final price after
years
is the initial price
is the rate in decimal form
is the time in years
We know from our problem that the initial price is $190, so . Now to convert the rate, 15%, to decimal form, we are going to divide it by 100%, so
. Let's replace the values: