Constant Rate of Change

Front

What is the definition of a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over a specific interval.

Tags

CCSS.HSF-LE.A.1B

Front

How is the gradient of a line related to the rate of change?

Back

The gradient (or slope) of a line represents the rate of change between two variables; a positive gradient indicates an increase, while a negative gradient indicates a decrease.

Tags

CCSS.8.EE.B.5

Front

What are the units typically used to describe a rate of change?

Back

Units of rate of change can vary, but they often include combinations of the quantities being measured, such as miles per hour, calories per minute, etc.

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does the point (20, 5) represent in a real-world context?

Back

In this context, the point (20, 5) indicates that delivering 20 newspapers results in earning $5.

Tags

CCSS.HSF.LE.B.5

Front

How do you calculate the rate of change from two points on a graph?

Back

The rate of change can be calculated using the formula: (change in y) / (change in x) between the two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of a negative gradient in a graph?

Back

A negative gradient indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What does a constant rate of change imply about the relationship between two variables?

Back

A constant rate of change implies a linear relationship between the two variables, meaning they change at a consistent rate.

Tags

CCSS.HSF-LE.A.1B

Front

How can you identify a constant rate of change from a table of values?

Back

A constant rate of change can be identified if the differences between consecutive y-values divided by the differences between consecutive x-values are the same.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for calculating the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does the term 'rate' refer to in mathematics?

Back

In mathematics, 'rate' refers to a ratio that compares two different kinds of quantities, often expressed as a fraction.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2