The population density of Helenville is 17.5 turkeys per acre. Exactly 840 turkeys live in Helenville. How many acres is Helenville?

48 acres

Step-by-step explanation:

Let

x ----> the number of turkeys live in Helenville

y ---> the number of acres in Helenville

P ---> the population density of Helenville

we know that

we have

substitute

solve for y

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:

i’m here for points.