What is the constant of proportionality of y=6.78x

k = 6.78

Step-by-step explanation:

If two variables x and y are respectively the independent and dependent variables and they are proportional to each other, then we can write the mathematical expression as y ∝ x.

This gives, y = kx (1)

Where k = proportionality constant.

Now, we are given a linear equation of x and y and we have to get the constant of proportionality.

The given equation is y = 6.78x (2)

Now, comparing equation (1) and (2) we get k = 6.78. (Answer)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

42

step-by-step explanation: