Question

Non proportional word problem a cleaning company charges a gas charge of $10 plus $45 per hour.I need to complete this

Answer 1

A proportional relationship has the form

`y=kx`

where k is the constant of proportionality.

A non-proportional relation has the form:

`y=kx+b`

where k and b are constants.

The two quantitites are: the total cost and the hours.

Verbal description.

A company charges a gas charge of $10 plus $45 per hour.

Equation.

`y=45x+10`

Explain in words what each letter and number in your equation means:

x denotes the hours

y denotes the total cost

Table of values.

By giving values to the variable x, we can construct the table:

For instance, the first row of the table was obtained by substituting x= 1 hour into our equation, that is,

`\begin{gathered} y=45(1)+10 \\ y=45+10 \\ y=55 \end{gathered}`

In the same way, for x=2 hours, we get

`\begin{gathered} y=45(2)+10 \\ y=90+10 \\ y=100 \end{gathered}`

and so on.

Finally, the graph is the following: