Final answer:
To find the scale model height, set up a proportion using the scale factor and the actual height of the doghouse. Solve for the scale model height using the proportion. The height of the doghouse in the scale model is 0.25 feet.
Step-by-step explanation:
To complete the solution, Nic needs to set up a proportion using the scale factor given. The scale factor is 1/24, which means that every 1 unit on the scale model represents 24 units in the actual object. Since Luis wants the actual height of the doghouse to be 6 feet, Nic can set up the proportion as:
scale model height / actual height = 1/24
To find the height of the doghouse in the scale model, Nic can solve for the scale model height:
scale model height = (1/24) * actual height
Plugging in the values, Nic can calculate the scale model height:
scale model height = (1/24) * 6 feet = 0.25 feet