Question

Does anybody know the answersssss !!?

Answer 1

Part A)
`y=4,000m+5,000`

Part B) see the explanation

Part C) The graph in the attached figure )see the explanation)

Explanation:

Part A)

Let

x ----> the number of months worked

y ----> Brian's wages in dollars

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to
`m=\$4,000\ per\ month`

The y-intercept is
`b=\$5,000`

substitute

`y=4,000x+5,000`

For x=m months

substitute

`y=4,000m+5,000`

Part B) Complete the table

we have the expression

`y=4,000x+5,000`

Substitute each value of x in the expression above to obtain the value of y

For x=1 ----->
`y=4,000(1)+5,000=\$9,000`

For x=2 ----->
`y=4,000(2)+5,000=\$13,000`

For x=4 ----->
`y=4,000(4)+5,000=\$21,000`

For x=7 ----->
`y=4,000(7)+5,000=\$33,000`

Find the ratio of y:x

For x=1, y=9,000 ----->
`y:x=9,000:1`

For x=2, y=13,000 ----->
`y:x=13,000:2=6,500:1`

For x=4, y=21,000 ----->
`y:x=21,000:4=5,250:1`

For x=7, y=33,000 ----->
`y=33,000:7=4,714.29:1`

The ratio of y:x are not equal, that means that the situation is not proportional

Part C) Graph the points from the table and connect them

using a graphing tool

The graph in the attached figure

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this graph, the line not passes though the origin, that means that the graph is not proportional