A proportional relationship has the form
[tex]y=kx[/tex]
where k is the constant of proportionality.
A non-proportional relation has the form:
[tex]y=kx+b[/tex]
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.
[tex]y=45x+10[/tex]
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,
[tex]\begin{gathered} y=45(1)+10 \\ y=45+10 \\ y=55 \end{gathered}[/tex]
In the same way, for x=2 hours, we get
[tex]\begin{gathered} y=45(2)+10 \\ y=90+10 \\ y=100 \end{gathered}[/tex]
and so on.
Finally, the graph is the following:
