A factory makes rectangular boxes. The area of the top surface can be modeled by the function: f(x) = 66x^2 + 17x + 1. The width of the top surface can be modeled by the function: g(x) = 6x + 1. Write an expression, h(x), in standard form that describes the length of the top surface.

Answer in a complete sentence.

Thank you so much in advanced.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

both equations and proportions are better.