without using your calculator or computer graphing tool. match each function rule with its graph. In each case, write a sentence
explaining the type of variation that relates (x) and (y) for example Y is proportional to ..... with constant of proportionality....?
1 answer:
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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:
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:
Therefore, the employee earns an additional $100 for every one unit sold.