Question

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.

Answer 1

• Part A: 6.4 in

• Part B: 16 in

Step-by-step explanation:

Part A

• Actual dog house's height = 4 feet

• Scale of the model: 4 inches / 2.5 feet,

• Height of the model

Set a proportion:

4 in / 2.5 ft = x / 4 ft

• Solve for x:

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

• Actual dog house's height = 4 feet

• Scale of the model: 6 inches / 1.5 feet,

• Height of the model

Set a proportion:

6 in / 1.5 ft = x / 4 ft

• Solve for x:

Multiply both sides by 4 ft and simplify:

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