Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

How do you find the constant of proportionality (k)?

Back

To find k, divide the value of y by the value of x in a proportional relationship.

Front

If y = 8x, what is the value of k?

Back

The value of k is 8.

Front

If y = 1/4x, what does this tell you about the relationship between y and x?

Back

This indicates that for every 1 unit increase in x, y increases by 1/4 of that unit.

Front

How do you solve a problem using proportional reasoning?

Back

Identify the ratios involved, set up a proportion, and solve for the unknown quantity.

Front

If 1 cm on a map represents 25 km, how many kilometers does 7 cm represent?

Back

175 kilometers.

Front

If it takes 18 minutes to type 14 pages, how long for 77 pages?

Back

99 minutes.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.