A statue is 8 feet tall. The display case for a model of the statue is 18 inches tall. Which scale allows the tallest model of the statue that will fit in the display case.

A 1 inch : 2 inches
B 1 inch : 7 inches
C 1 inch : 5 inches
D 1 inch : 10 inches

1 inch: 7 inches

How did you get that?

To determine the scale that allows the tallest model of the statue to fit in the display case, we need to find the ratio between the height of the model and the height of the actual statue.

Let's convert the measurements to the same unit. Since the height of the statue is given in feet and the height of the display case is given in inches, let's convert everything to inches.

The height of the statue is 8 feet * 12 inches/foot = 96 inches.
The height of the display case is 18 inches.

Now, let's calculate the ratio between the height of the model and the height of the actual statue for each given scale:

A. 1 inch : 2 inches
Model height = (1 inch) / 2 * (96 inches) = 48 inches

B. 1 inch : 7 inches
Model height = (1 inch) / 7 * (96 inches) ≈ 13.71 inches

C. 1 inch : 5 inches
Model height = (1 inch) / 5 * (96 inches) = 19.2 inches

D. 1 inch : 10 inches
Model height = (1 inch) / 10 * (96 inches) = 9.6 inches

From the calculations, we can see that the tallest model that will fit in the display case is option B, with a model height of approximately 13.71 inches. Therefore, the correct answer is option B: 1 inch : 7 inches.