Functions warmup ... with a bunch of words

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function, which can be changed or controlled to test its effects on the dependent variable.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

If Juan saves $25 per week, what is the slope of his savings function?

Back

The slope of Juan's savings function is $25, indicating he saves $25 for each week.

Front

What is the difference between a flat fee and a variable fee?

Back

A flat fee is a one-time charge that does not change, while a variable fee changes based on the amount of service provided or time spent.

Front

How do you identify the independent variable in a word problem?

Back

The independent variable is usually the one that you can control or change, often representing time or quantity.

Front

What does it mean if a line is steeper in a graph?

Back

A steeper line indicates a greater rate of change; for example, a higher slope means a larger increase in y for each unit increase in x.

Front

In the context of savings, what does a higher y-intercept indicate?

Back

A higher y-intercept indicates that the person started with more money in their account before saving.

Front

What is the formula for a linear function?

Back

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

Front

If Mr. Rose eats 5 pieces of candy each day, how is this represented in the function y = 175 - 5x?

Back

In the function y = 175 - 5x, the '-5' represents the rate at which Mr. Rose eats candy each day.