Question

Ava made a scale model of a building. The building has an actual height of 375 feet. Ava’s model used a scale in which 1 inch represents 50 feet. What is the height in inches of Ava’s model?

A) 7.5 inches
B) 375 inches
C) 1.5 inches
D) 750 inches

Answer 1

The height of Ava's scale model building, on a scale where 1 inch represents 50 feet, is 7.5 inches.

Step-by-step explanation:

Ava made a scale model of a building where the actual height is 375 feet and the scale is 1 inch represents 50 feet. To calculate the height of Ava's model in inches, we set up the proportion as follows:

1 inch / 50 feet = x inches / 375 feet

When we cross multiply and solve for x, we get:

50x = 375

x = 375 / 50

x = 7.5 inches

Therefore, the height of Ava's scale model building is 7.5 inches.