Answer:
Step-by-step explanation:
To preface, your figure is going to be a line segment, with as your midpoint, in between points
&
With that being said:
Identify your values:
Substitute the values into the first equation:
Combine like terms:
Subtract from both sides of the equation:
Divide by the coefficient of , which is
:
Substitute for
in segments
&
:
Solve:
Check your answers by substituting:
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.
<u />
<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>
<u />
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.
