12/16 Matching Tables, Graphs and Equations Practice

Front

What is the INDEPENDENT variable?

Back

The independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable. In the context of the provided questions, the independent variable is time.

Front

What is the DEPENDENT variable?

Back

The dependent variable is the variable that is measured and affected in an experiment. In the context of the provided questions, the dependent variable is total cost.

Front

What does the equation y = x + 2 represent?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 1, starting from 2.

Front

What does the equation y = 2x - 1 represent?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 2, starting from -1.

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that result from using the function.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you find the total number of cars washed in a given time?

Back

To find the total number of cars washed, multiply the number of hours by the rate of washing cars (e.g., 4 cars per hour).