Question

An electrician is hired to install outdoor lighting. The electrician claims that the relationship between the number of hours worked and the total work fee is porportional. The fee for 5 hours of work is $255

Answer 1

Explanation:

If we have two variables and can write a relationship between them as:

$y=kx \\ \\ \\ Where: \\ \\ \text{k is the constant of proportionality}$

Then we say that $y$ varies directly as $x$ or $y$ is directly proportional to $x$

In this case, let's say:

$x:\text{The number of hours worked} \\ \\ y:\text{Total work fee}$

Then since we know that the fee for 5 hours of work is $255, then the constant of proportionality is:

$k=\frac{255}{5} \\ \\ k=51$

Therefore, our model can be written as:

$\boxed{y=51x}$