A blueprint for a house shows the height of the house to be 3 1/4 inches. The actual house is 21 1/3 feet tall. What is the unit rate in feet per inch feet per inch?

6 or feet per inch

Step-by-step explanation:

Yeah. This is a question about scaling.

Basically, it's asking how many feet (in real life) are being represented by one inch in the blueprint.

You solve it by dividing the height of the actual house by the height of the blueprint. And, since the actual house is in feet, and the blueprint is in inches, your answer will be in feet per inches.

Does that help?

6 22/39

Step-by-step explanation:

21 and 1/3÷3 and 1/4=64/3÷13/4

=64/3×4/13

=256/23

=6 and 22/39

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: