Review for 2-3 to 2-5 (Illustrative Math)

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a chart?

Back

To find the constant of proportionality from a chart, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is the relationship between a number and its reciprocal?

Back

A number and its reciprocal multiply to give 1. For example, the reciprocal of 2 is 1/2, and 2 * 1/2 = 1.

Front

What is the format of an equation for a proportional relationship?

Back

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

Front

Back

Front

If y = 100 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality k is 100, since y = kx implies k = y/x.

Front

What does it mean if two numbers are reciprocals?

Back

Two numbers are reciprocals if their product is 1. For example, 3 and 1/3 are reciprocals because 3 * 1/3 = 1.

Front

How can you express a proportional relationship using a graph?

Back

A proportional relationship can be expressed using a graph as a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality if y = 50 when x = 2?

Back

The constant of proportionality k is 25, since k = y/x = 50/2.

Front

What is the relationship between 1/10 and 10?

Back

1/10 and 10 are reciprocals of each other.