Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

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.

Front

If a map scale is 1 cm to 400 km, how do you calculate the real distance for 10 cm on the map?

Back

Multiply 10 cm by 400 km/cm to get 4000 km.

Front

What is the formula for finding the scale factor?

Back

Scale Factor = Actual Distance / Drawing Distance.

Front

If a drawing shows a length of 5 inches and the scale is 1 inch for every 20 miles, what is the actual length?

Back

The actual length is 100 miles (5 inches * 20 miles/inch).

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you set up a proportion to solve for an unknown?

Back

Set up a proportion by equating two ratios and then cross-multiply to solve for the unknown.

Front

If a scale drawing shows a length of 3 inches and the scale is 1 inch for every 15 miles, how far does the drawing represent?

Back

The drawing represents 45 miles (3 inches * 15 miles/inch).

Front

What is the relationship between scale and accuracy in maps?

Back

A larger scale (more detail) provides greater accuracy, while a smaller scale (less detail) covers larger areas but with less accuracy.

Front

If a farmer's garden is 12 m long and the drawing scale is 1 inch for every 4 m, how long is the drawing?

Back

The drawing is 3 inches long (12 m / 4 m/inch).