12/16 Measurement Conversion using Proportion

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 to solve a problem?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

If 3 t-shirts cost $7, how do you find the cost of 1 t-shirt?

Back

Divide the total cost by the number of t-shirts: $7 ÷ 3 = $2.33 per t-shirt.

Front

If 1 coffee costs $1.75, how do you find the cost of 10 coffees?

Back

Multiply the cost of one coffee by the number of coffees: $1.75 × 10 = $17.50.

Front

What is the formula to find the total cost of multiple items?

Back

Total Cost = Cost per Item × Number of Items.

Front

If a photo is scaled down, how do you find the new dimensions?

Back

Use the scale factor to multiply the original dimensions: New Width = Original Width × Scale Factor.

Front

What is the scale factor if a photo's width changes from 12 inches to 9 inches?

Back

Scale Factor = New Width ÷ Original Width = 9 ÷ 12 = 0.75.

Front

How do you calculate the height of a scaled photo if the width is reduced?

Back

Use the proportion: New Height = Original Height × (New Width ÷ Original Width).

Front

If 1 shirt costs $3, how do you find the cost of 25 shirts?

Back

Multiply the cost of one shirt by the number of shirts: $3 × 25 = $75.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.