Answer:
A
Step-by-step explanation:
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.
Proof
This can be proved by calculating the slope (gradient) of the graph:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line
When picking the two points, remember that the y-values are in thousands of dollars.
Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]
Therefore, the employee earns an additional $100 for every one unit sold.
