Semester Review

Front

What does it mean when we say 'y varies directly with x'?

Back

It means that there is a constant ratio between y and x, which can be expressed as y = kx, where k is a constant.

Front

If y = 14 when x = 6, what is the constant of variation (k) in the equation y = kx?

Back

k = \frac{y}{x} = \frac{14}{6} = \frac{7}{3}.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

If the slope of a line is m = 3/4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 3/4.

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are identical.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}.

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

Slope = \frac{12 - 4}{6 - 2} = \frac{8}{4} = 2.

Front

What is a reasonable domain for the number of products sold if at least 8 and no more than 40 products must be sold?

Back

Domain: D = {8, 9, 10, ..., 40}.

Front

What is a reasonable range for the earnings if the girls receive $7 for each product sold?

Back

Range: R = {56, 63, 70, ..., 280}.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions consist of distinct, separate values, while continuous functions can take any value within a given range.