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

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

Then we say that varies directly as or is directly proportional to

In this case, let's say:

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

Therefore, our model can be written as:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.