Unlimited Practice: Proportionality

Charles is making a scale model of a building. The actual height of the building is 2,000 feet. Charles wants to make a model using the scale 3 inches of the model for every 40 feet of the actual building.

Which equation can Charles use to determing x, the height in inches, the scale model should be?

$x = \frac{3}{40} \times 2,000$

$\frac{x}{2,000} = \frac{3}{40}$

$2,000x = 3 \times 40$

$2,000x = \frac{3}{40}$

A recipe requires 2.6 cups of flour and 6.24 teaspoons of vanilla.

If Tenaja uses 5.2 cups of flour, how many teaspoons of vanilla should be used?

13.13

12.48

12.88

10.68

Meghan is making a scale model of a building. The actual height of the building is 2,000 feet. Meghan wants to make a model using the scale 2.25 inches of the model for every 40 feet of the actual building.

Which equation can Meghan use to determing x, the height in inches, the scale model should be?

$x = \frac{2.25}{40} \times 2,000$

$2,000x = 2.25 \times 40$

$2,000x = \frac{2.25}{40}$

$\frac{x}{2,000} = \frac{2.25}{40}$

Maria is making a scale model of a building. The actual height of the building is 3,000 feet. Maria wants to make a model using the scale 4.5 inches of the model for every 25 feet of the actual building.

Which equation can Maria use to determing x, the height in inches, the scale model should be?

$3,000x = 4.5 \times 25$

$\frac{x}{3,000} = \frac{4.5}{25}$

$3,000x = \frac{4.5}{25}$

$x = \frac{4.5}{25} \times 3,000$