function rule

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a function.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

If a function rule is y = 285 - 60x, what does 285 represent?

Back

285 represents the initial quantity or starting value before any changes occur.

Front

In the equation c = 12p + 3, what does 'p' represent?

Back

'p' represents the number of pizzas ordered.

Front

What does the term 'slope' refer to in a function?

Back

The slope indicates the rate of change of the function, showing how much y changes for a unit change in x.

Front

How do you interpret the function rule y = 84 - 3x?

Back

This means that the water tank starts with 84 gallons and loses 3 gallons for every hour that passes.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the value of y when x is 0, indicating where the graph of the function crosses the y-axis.

Front

What does the equation t = 20n represent in a real-world context?

Back

This equation represents the total earnings (t) Patrick makes from mowing n lawns, where he earns $20 per lawn.

Front

What is the difference between dependent and independent variables in a function?

Back

The independent variable (x) is the input value, while the dependent variable (y) is the output value that depends on x.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x) has exactly one output (y).