Let x be "the number of hours worked"
And y be "Amount of money earned"
If both variables vary proportionality, you can say that the constat of proportionality is
[tex]k=\frac{y}{x}[/tex]
Choosing one pair of values of the table:
For example x=2 and y=125
Assuming the flat fee the painter changes is 25 (I choose it to be 25 because the variation turns proportional if you subtract 25 fromm all values of y)
Then subtract it from the value of y
125-25=100
And use it to calculate the the constant k
[tex]k=\frac{100}{2}=50[/tex]
So the painter earns $50 per hour worked
The function is then y=25+50x
The correct option is the first one.
