Solving proportions word problems

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

If 6 pencils cost 36 cents, how do you find the cost of 1 pencil?

Back

Divide the total cost by the number of pencils: 36 cents ÷ 6 pencils = 6 cents per pencil.

Front

What is the formula for finding the cost of multiple items in a proportional relationship?

Back

Cost = (Cost of 1 item) × (Number of items).

Front

How can you determine if a table of values is proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

What does the point (2,4) represent in a proportional relationship?

Back

It represents that in 2 hours, 4 units of something (like rain) occurred.

Front

If 1 cm on a map represents 25 km, how do you find the distance for 7 cm?

Back

Multiply the map distance by the scale: 7 cm × 25 km/cm = 175 km.

Front

What is the relationship between the variables in the equation y = 14x?

Back

y is directly proportional to x with a constant of proportionality of 14.

Front

How do you check if two ratios are equivalent?

Back

Cross-multiply the ratios and see if the products are equal.