Tables, Graphs, Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you determine if a graph is proportional or non-proportional?

Back

A graph is proportional if it passes through the origin (0,0) and is a straight line. If it does not pass through the origin, it is non-proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 18x?

Back

The slope in the equation y = 18x is 18, indicating that for every unit increase in x, y increases by 18.

Front

How do you write an equation for a situation involving a fixed cost and a variable cost?

Back

The equation can be written as y = fixed cost + (variable cost per unit * x), where x is the number of units.

Front

What is the meaning of the variable x in the equation y = 18x?

Back

In the equation y = 18x, x represents the number of hours worked.

Front

How do you solve for y in the equation y = x - 6?

Back

To solve for y, substitute a value for x into the equation and perform the calculation.

Front

What is the significance of the y-intercept in a linear equation?

Back

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