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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Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
Hence, our function is: