Answer:
A
Step-by-step explanation:
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From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.
So, the employee earns an additional $1000 for every 10 units sold.
To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:
1000 ÷ 10 = 100
Therefore, the employee earns an additional $100 for every one unit sold.
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<u>Proof</u>
This can be proved by calculating the slope (gradient) of the graph:
![\sf slope=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Csf%20slope%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
where
and
are two points on the line
When picking the two points, remember that the <u>y-values are in </u><u><em>thousands</em></u><u> </u><u>of dollars.</u>
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Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
![\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20slope%3D%5Cdfrac%7B32000-30000%7D%7B20-0%7D%3D%5Cdfrac%7B2000%7D%7B20%7D%3D100)
Therefore, the employee earns an additional $100 for every one unit sold.