Test 3-2 Review

Front

What does it mean when y varies directly as x?

Back

It means that y is proportional to x, which can be expressed as y = kx, where k is a constant.

Front

If x = 24 when y = 8, what is the constant of variation (k)?

Back

k = y/x = 8/24 = 1/3.

Front

Find y when x = 33, given that y varies directly as x and k = 1/3.

Back

y = kx = (1/3) * 33 = 11.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

Is the video game rental fee of $15 plus $3 per day proportional or non-proportional?

Back

Non-Proportional, because it includes a fixed fee.

Front

What is another name for the slope in a linear equation?

Back

Slope is also referred to as 'k' in the equation y = kx.

Front

Which of the following represents a proportional function: a rental company charges $80 per day and a one-time fee of $24, or Beverly earns $210 a week for 4 weeks?

Back

Beverly earns $210 a week for 4 weeks is proportional.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

If a table has the same x-value for different y-values, does it represent a function?

Back

No, it does not represent a function.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).