A surveyor finds that the cross-section of the bottom of a circular pond has the shape of a parabola. The pond is 24 feet in diameter. The middle of the pond is the deepest part
at 8 feet deep. At a point 2 feet from the shore the water is 3 feet deep. How deep is the
pond at a point 6 feet from the shore?

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:

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

******************

this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

what is the approximate solution for the system of equations x+5y=10 and 3x+y=1

step-by-step explanation:

tell me the answer first then i will answer it