The parks department rents paddleboats at docks near each entrance to the park. to the nearest meter, how far is it from one dock to the other?

Using the Pythagorean theorem:

105^2 + 75^2 = X^2

11025 + 5625 = x^2

16650 = x^2

x = √16650

x = 129.034

Rounded to the nearest meter = 129 meters.

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:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total