Question

The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?

Answer 1

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:

$\sf slope=\dfrac{y_2-y_1}{x_2-x_1}$

where $\sf (x_1,y_1)$ and $\sf (x_2,y_2)$ 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:

$\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100$

Therefore, the employee earns an additional $100 for every one unit sold.