Question

The relationship between the input values (x) and the output values (y) is :'y is one less than a quarter of x'

Answer 1

An equation in the form of y is y = x/4 - 1

An equation in the form y = ...

The statement is given as:

'y is one less than a quarter of x'

A quarter of x means x/4

So, we have:

y = x/4 - 1

Hence, an equation in the form of y is y = x/4 - 1

Number sentences

From the question, we have:

x = -4, -2,0, 2 and 4

Substitute these values in y = x/4 - 1

-4/4 - 1 = -2

-2/4 - 1 = -1.5

-0/4 - 1 = -1

2/4 - 1 = -0.5

4/4 - 1 = 0

The above represents the number sentences

The flow diagram

This is represented as:

x                     Computation           y

-4                    -4/4 - 1                     -2

-2                    -2/4 - 1                     -1.5

-0                    -0/4 - 1                     -1

2                      2/4 - 1                     -0.5

4                      4/4 - 1                     0

The table of values

This is represented as:

x   y

-4 -2

-2 -1.5

-0 -1

2  -0.5

4  0

Ordered pairs of numbers.

This is represented as:

(-4, -2), (-2, -1.5), (0, -1), (2, 0.5) and (4, 0)

Read more about linear functions at:

brainly.com/question/15602982

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