Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion for a word problem?

Back

Identify the two quantities being compared, write their ratios, and set them equal to each other.

Front

What does scale mean in a model?

Back

Scale is the ratio of the model's size to the actual size.

Front

If a model is built at a scale of 1 in : 2 ft, how do you convert model measurements to real measurements?

Back

Multiply the model measurement by the scale factor (2 ft for every 1 in).

Front

How do you find the height of a real object using a model?

Back

Multiply the height of the model by the scale factor.

Front

What is the relationship between the height of an object and the length of its shadow?

Back

The height of an object and the length of its shadow are proportional.

Front

If a 10 ft tall tent casts a 5 ft shadow, what is the ratio of height to shadow length?

Back

The ratio is 10 ft : 5 ft, which simplifies to 2:1.

Front

How do you find the length of a shadow for a smaller object?

Back

Use the proportion of the height of the larger object to its shadow length to find the shadow length of the smaller object.

Front

What is the formula to find the distance on a map using a scale?

Back

Distance on the map = Actual distance / Scale factor.

Front

If a model car is 4 in long and the scale is 1 in : 3 ft, how long is the real car?

Back

The real car is 4 in * 3 ft/in = 12 ft.