Tables and Equations 6.6c

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically involving variables.

Front

What does the variable 'x' typically represent in equations?

Back

In equations, 'x' usually represents the input value or independent variable.

Front

What does the variable 'y' typically represent in equations?

Back

In equations, 'y' usually represents the output value or dependent variable.

Front

What is the purpose of a table in relation to equations?

Back

A table organizes input-output pairs that satisfy an equation, helping to visualize the relationship.

Front

What does the equation y = x + 4 represent?

Back

This equation shows that for every unit increase in x, y increases by 1, plus an additional 4.

Front

How do you interpret the equation c = 1.25m?

Back

This equation indicates that the cost (c) is 1.25 times the number of moving boxes (m) purchased.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How can you find the output value (y) using the equation y = 18.50x?

Back

To find y, multiply the input value (x) by 18.50.