Emily is building a model of her dog house. the height of the actual dog house is 4 feet.

part a

if the scale of the model is 4 inches = 2.5 feet, what would be the height of the model? show and explain all of your work.

part b

if the scale of the model was changed to 6 inches = 1.5 feet, what would be the height of the model? show and explain your work.

Explanation:

Part A

        Set a proportion:

        4 in / 2.5 ft = x / 4 ft

        Multiply both sides by 4 ft and simplify:

        x = 4 ft × 4 in / 2.5 ft = 16 / 2.5 in = 6.4 in

Part B

        Set a proportion:

        6 in / 1.5 ft = x / 4 ft

        Multiply both sides by 4 ft and simplify:

        x = 4 ft × 6 in / 1.5 ft = 24 / 1.5 in = 16 in

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.