Unlimited Practice: Proportionality

Christian is making a scale model of a building. The actual height of the building is 2,500 feet. Christian wants to make a model using the scale 4.25 inches of the model for every 20 feet of the actual building.

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

$\frac{x}{2,500} = \frac{20}{4.25}$

$\frac{x}{2,500} = \frac{4.25}{20}$

$2,500x = 4.25 \times 20$

$\frac{2,500}{x} = \frac{4.25}{20}$

x	y
-1	-4.4
0	-2
1	0.4
2	2.8

Based on the table above, which statement describes the relationship between x and y?

The relationship is proportional because the ratio of x to y is constant.

The relationship is not proportional because the ratio of x to y is not constant.

The relationship is not proportional because the difference between x to y is constant.

The relationship is proportional because the difference between x to y is constant.

Guy is making a scale model of a building. The actual height of the building is 50 feet. Guy wants to make a model using the scale 3 inches of the model for every 35 feet of the actual building.

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

$50x = 3 \times 35$

$\frac{50}{x} = \frac{3}{35}$

$x = \frac{3}{35} \times 50$

$\frac{x}{50} = \frac{3}{35}$

x	y
2	3.8
3	6.2
4	8.6
5	11

Based on the table above, which statement describes the relationship between x and y?

The relationship is not proportional because the ratio of x to y is not constant.

The relationship is proportional because the ratio of x to y is constant.

The relationship is proportional because the difference between x to y is constant.

The relationship is not proportional because the difference between x to y is constant.