Apainter is hired to paint the interior walls of a large warehouse. the function f(x)=20,000−40x models the area in square feet that remain to be painted, where x represents the number of minutes the painter has worked from the 100-minute mark through the 200-minute mark of the project. what is the practical range of the function? a) all integers b) all real numbers between 100 and 200 inclusive c) all real numbers between 12,000 and 16,000 inclusive d) integers from 100 to 200 inclusive

Option C.

Step-by-step explanation:

The given function is

where x represents the number of minutes the painter has worked from the 100-minute mark through the 200-minute mark of the project.

We need to find the practical range of the function.

The value of x lies from 100 to 200.

At x=100,

At x=200,

It means the practical range of the function is all real numbers between 12,000 and 16,000 inclusive.

Hence, the correct option is C.

equal to

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204