Open up Unit 2 Proportion

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 identify a proportional relationship from a set of data?

Back

You can identify a proportional relationship by checking if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

If y = 8.5x, what is the constant of proportionality?

Back

The constant of proportionality is 8.5.

Front

What equation represents distance traveled at a constant speed?

Back

The equation is d = rt, where d is distance, r is rate (speed), and t is time.

Front

If a car travels at 65 miles per hour, how far does it travel in 3 hours?

Back

d = 65t; d = 65 * 3 = 195 miles.

Front

What is the formula to find the constant of proportionality from a table of values?

Back

k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If the constant of proportionality is 3/4, what is the value of y when x = 8?

Back

y = (3/4) * 8 = 6.

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 can you represent a proportional relationship graphically?

Back

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