Ratio and Proportions MtM Unit Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you determine if an equation is proportional?

Back

An equation is proportional if it can be expressed in the form y = kx, where k is a constant. If the relationship does not maintain a constant ratio, it is non-proportional.

Front

What does the equation y = 2.5x represent?

Back

This equation represents a proportional relationship where for every unit increase in x, y increases by 2.5 times.

Front

How do you calculate the amount of gas needed for a trip based on miles driven?

Back

To calculate the amount of gas needed, divide the total miles by the miles per gallon (mpg) of the vehicle. For example, if a vehicle gets 25 mpg, a 500-mile trip would require 500 / 25 = 20 gallons.

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 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 terms and set the products equal to each other, then solve for the unknown variable.

Front

What is the difference between direct and inverse variation?

Back

Direct variation occurs when two variables increase or decrease together, while inverse variation occurs when one variable increases as the other decreases.

Front

What is the formula for finding the constant of proportionality in a table of values?

Back

The constant of proportionality can be found by dividing the value of y by the corresponding value of x for any pair of values in the table.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically by a straight line that passes through the origin (0,0).