Question

From the graph, what is the profit earned (in $) when the number of items sold is 2000?

• A. 10000

Answer 1

The correct option is A 10000
Let us look at the graph:


Consider the two points (100, 500) and (200, 1000)

Now, comparing the ratio of profit earned to number of items sold, we get,

$\text{Constant of proportionality}=\frac{\text{Profit earned in dollars}}{\text{Number of items sold}}$

$\Rightarrow \frac{\text{c}}{\text{n}}$ $=\frac{500}{100}=\frac{1000}{200}$

$\Rightarrow \frac{\text{c}}{\text{n}}=5$

$\Rightarrow \text{c}=\text{5n}$

Now, number of items sold (n) = 2000

∴ When the number of items sold is 2000, then the profit will be
$5\times 2000=$ $10,000