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 determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant, meaning that as one quantity changes, the other changes at a consistent rate.

Front

What is the formula for calculating the unit rate?

Back

The unit rate is calculated by dividing the total amount by the number of units, expressed as 'amount per unit'.

Front

If a charity sells pies for $6 each, what is the total amount received for selling 10 pies?

Back

The total amount received is $60, calculated as 10 pies x $6 per pie.

Front

What does a negative rate of change indicate in a graph?

Back

A negative rate of change indicates that as one variable increases, the other variable decreases.

Front

How do you find the unit price of tickets at an amusement park?

Back

To find the unit price, divide the total cost by the number of tickets.

Front

What is the significance of comparing unit rates?

Back

Comparing unit rates helps determine which option provides a better value for the same quantity.

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by drawing a horizontal line and a vertical line from two points on a graph, used to visually represent the slope.

Front

If the slope of a line is -1/3, what does this mean in terms of the graph?

Back

This means that for every 3 units you move horizontally to the right, the line moves down 1 unit.

Front

What is the relationship between the slope of a line and its steepness?

Back

The greater the absolute value of the slope, the steeper the line; a slope of 0 indicates a horizontal line, while an undefined slope indicates a vertical line.