Scale Drawings/Unit Rates, Ratios, Better Buy Practice

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or space that is proportionally reduced or enlarged to fit a specific size, maintaining the same ratios as the original.

Front

What does the term 'unit rate' mean?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if 35 diapers cost $6.99, the unit rate is the cost per diaper.

Front

How do you find the actual height of an object using a scale?

Back

To find the actual height, multiply the measurement on the scale drawing by the scale factor. For example, if 1 in = 4 ft and the drawing shows 12 in, the actual height is 12 in x 4 ft/in = 48 ft.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times one value contains or is contained within the other.

Front

How do you convert a scale to a different unit?

Back

To convert a scale, you need to find a common unit and adjust the scale accordingly. For example, if the scale is 1 cm = 4 ft, to convert to inches, you would use the conversion factor of 1 ft = 12 in.

Front

What is the formula to calculate the unit price?

Back

The unit price is calculated by dividing the total cost by the number of items. For example, if a box of 35 diapers costs $6.99, the unit price is $6.99 ÷ 35.

Front

If a drawing shows a width of 7 inches and the scale is 1 in = 7 ft, what is the actual width?

Back

The actual width is 7 in x 7 ft/in = 49 ft.

Front

How do you determine the scale of a drawing?

Back

To determine the scale, compare the dimensions in the drawing to the actual dimensions. For example, if the actual kitchen is 24 ft by 24 ft and the drawing shows 3 cm by 3 cm, the scale is 1 cm : 8 ft.

Front

What is the relationship between scale and actual distance?

Back

The scale indicates how much the drawing has been reduced or enlarged compared to the actual distance. For example, a scale of 1 in = 300 miles means that every inch on the drawing represents 300 miles in reality.

Front

How do you find the actual distance using a scale?

Back

To find the actual distance, multiply the distance on the drawing by the scale factor. For example, if the drawing shows 3 in and the scale is 1 in = 300 miles, the actual distance is 3 in x 300 miles/in = 900 miles.