Question

the difference between maggies age and terrance age is 3. if x represents maggies age and y represents terrance age, make a table of possible values for x and y. graph the ordered pair and describe the graph

Answer 1

Step-by-step explanation:

There can be two situations

1. When maggie is older

The equation becomes x = y + 3

It can also be expressed as y = x - 3

2. When maggie is younger

The equation becomes y = x + 3

Table of possible values

1. x y 2. x y

5 2 2 5

6 3 3 6

Answer 2

The required equation is
`|y-x|=3`. If maggies is elder, then
`y_1=x-3` and if maggies is younger, then
`y_2=x+3`.

Explanation:

Let the x represents maggies age and y represents terrance age, make a table of possible values for x and y.

It is given that the difference between maggies age and terrance age is 3.

It means

`|y-x|=3`

On simplification, we get

`y-x=\pm 3`

`y=x\pm 3`

Case 1: If maggies is elder.

`y_1=x-3`

Case 2: If maggies is younger.

`y_2=x+3`

The table of values is

x y₁ y₂

-3 -6 0

0 -3 3

3 0 6

The graph of both functions are shown below.