Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x. In this case, the slope is -3.

Front

y=18x Proportional or non-proportional?

Back

This equation represents a proportional relationship because it can be expressed in the form y = kx, where k is a constant (18 in this case).

Front

Find the rate of change.

Back

The rate of change is -2 gallons per minute, indicating that for every minute, the quantity decreases by 2 gallons.

Front

In order for a relationship to be a function, _____________.

Back

The x-value cannot repeat. This means that each input (x) must correspond to exactly one output (y).

Front

Which representation does NOT show y as a function of x?

Back

A relation that has at least one x-value paired with multiple y-values does not represent y as a function of x.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if y = kx, where k is a constant.

Front

What does the term 'rate of change' mean?

Back

Rate of change refers to how much one quantity changes in relation to another quantity. It is often expressed as a ratio.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for every input, while a non-function may have multiple outputs for a single input.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0) on a graph.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.