HW #2.3 - Slope in Context

Front

What does the standard A.2(C) focus on in mathematics?

Back

The standard A.2(C) focuses on understanding and applying the concept of slope in various contexts, particularly in linear relationships.

Front

What is the definition of slope in a linear equation?

Back

Slope is the rate of change of a linear relationship, represented as 'm' in the equation y = mx + b.

Front

In the context of a linear equation, what does 'b' represent?

Back

'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the slope and y-intercept, and then write the equation in the form y = mx + b.

Front

What is the slope in the equation y = 12x + 325?

Back

The slope is 12, which represents the change in calories per chip.

Front

In the taxi fare example, what does the flat fee represent in the equation?

Back

The flat fee of $5.00 represents the y-intercept in the equation for the taxi fare.

Front

What is the significance of the slope in the context of the airport shuttle service?

Back

The slope of $1.15 represents the cost per mile charged by the shuttle service.

Front

How can you determine the slope from a real-world scenario?

Back

By identifying the rate of change between two quantities in the scenario.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if the slope is positive in a linear equation?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.