C(x)= 9(9)^2-5(9)+19
= 9(81)-45+19
= 729-45+19
= 684+19
= $703 to produce 9 widgets
first you put 18/y=2
you multiply by 18 to get y=36
your answer is 36, y=36
A constant of variation is only in the form ay=bx where b/a=constant so given any point y/x=constant let us check here by substituting x=1 and x=2
when x=1---> 2y=14,y=7 here y/x=7
when x=2--->2y=19,y=9.5 here y/x=4.75
so this equation is not constant of variation
let us check an equation of the form 3y=7x
when x=1--->y=7/3--->y/x=7/3
when x=2--->y=14/3---->y/x=7/3
so 3y=7x is a constant of variation
The diagram of the lawn and the shed is shown below.
The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed
The area of the yard =

The area of the shed =

The area of the lawn =

The area of the lawn =

The area of the lawn =