Question

7 The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400).

If the equation p = 50s - 200 represents the profit, p, based on s sales, what does
the intersection best represent?
A When the sales are 400, the profit is 12.
B When the sales are 12, the profit is 400.
C The profit is always 400.
D The sales are always 12.

Answer 1

B When the sales are 12, the profit is 400.

Explanation:

Given

`p = 500s - 200`

`p = 400`

`(s,p) = (12,400)`

Required

Interpret the intersection

From the intersection, we have the following parameters.

`(s,p) = (12,400)`

Literally, it means

`s = 12` when
`p = 400`

From the question, we understand that

s represents sales while p, profit.

So, the interpretation of
`(s,p) = (12,400)` is when sales = 12, profit = 400