The Statue of Liberty is 305 feet tall. 'A Lego
model of the statue is 30
inches tall
. What is the
ratio of the height of the
real statue to the height
of the model (in inches)?

Height of copper statue (to torch): 151 feet 1 inch (46 meters) From ground level to torch: 305 feet 1 inch (93 meters)

Step-by-step explanation:

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: