A map shows a town with an area of 3.5 square inches. If the map has a scale of 1 inch : 4 miles, what is the actual area of the towm

Step-by-step explanation:

1 in:4 mi

1 sq in:16 sq mi

3.5 sq in × (16 sq mi)/(sq in) = 56 sq mi

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:

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour