Reveal Pilot - Lesson Flashcardzes 3-1 through 3-4

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

What does a slope of 4/6 represent in terms of rise over run?

Back

It means for every 4 units of vertical rise, there is a 6 unit horizontal run.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you determine if a table of values is proportional?

Back

A table is proportional if the ratios of corresponding values are constant.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Front

If y = 6x, what does this tell you about the cost of each pie sold?

Back

It indicates that each pie costs $6.

Front

If the charity sells cakes for $4 each, how does this compare to the pies?

Back

The pies raise more money per unit sold since they are sold for $6 each.

Front

What is the meaning of a non-proportional relationship?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

Write the equation for a relationship where the constant of proportionality is 18.50.

Back

y = 18.50x.