Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?

See Explanation

Step-by-step explanation:

The options are not given; however, the solution is as follows;

Required

Determine relationships with the same constant of proportionality (k)

Divide both sides by 3

The relationship between y, x and k is:

Comparing with ; then

Hence, any of the options with k=9 answers the question.

Take for instance:

Dividing both sides by 2 gives

and hence;

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