Question

1b. Below is a graph of the equation x + y = 500. Change it so that itrepresents solutions to the inequality representing this situation. Statewhat line you will use (dashed or solid line) and which side you will shade(A or B). **

Answer 1

Given:

The equation of the graph is x + y = 500.

The objective is to change the equation as inequality and to choose the correct region for shading.

Step-by-step explanation:

As the equation is given as x + y = 500, the sum of the values of x and y lies within the 500. As its total sum is also equal to 500, the graph must lie with in the maximum range of 500 that is at A along with solid line. (If sum is not equal to 500, the graph will contain dotted line).

Representation of inequality:

The given equation can be represented in the form of inequality as,

`x+y\le500`

Graph:

Then, the graph of the inequality will be,

Hence, the inequality is x + y ≤ 500 and the graph contains solid line with shaded region in A.