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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The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
---- the rate
First, we calculate the vertical distance (y) using tangent ratio
Substitute 100 for x
Differentiate both sides with respect to time (t)
Substitute values for the rates and
This gives
Divide both sides by 2
Hence, the rate of change between you and the ball is 0.01 rad per second
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