Help :( Suppose y varies directly with x, and y= 24 when x= 8. What is the value of y when x=10?

A. 10
B. 30
C. 80
D. 240

Step-by-step explanation:

Given that:

y ∝ x

Turning proportionality into equality by putting the constant 'k'

y = kx ---------------------(1)

We know that y = 24, when x = 8

24 = k(8)

Divide both sides by 8

24 / 8 = k

3 = k

OR

k = 3

Now, Finding y when x = 10

Put x = 10 and k = 3 in Eq. (1)

y = (3)(10)

y = 30

Hope this helped!

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

answer: $1794

step-by-step explanation: