DCP 2 Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Front

How do you represent the height of stacked boxes with a system of equations?

Back

Let x be the number of 2-inch boxes and y be the number of 3-inch boxes. The equations are: 2x + 3y = total height and x + y = total number of boxes.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the formula for a linear function?

Back

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

Front

How do you find the rate of change from a table of values?

Back

The rate of change can be found by calculating the difference in the dependent variable divided by the difference in the independent variable between two points.

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 the dependent variable when the independent variable is zero.

Front

What does it mean for a function to decrease at a constant rate?

Back

It means that for every unit increase in the independent variable, the dependent variable decreases by a fixed amount.

Front

How can you express a decreasing function mathematically?

Back

A decreasing function can be expressed as h(t) = initial height - rate of decrease * time.

Front

What is the meaning of 'fixed amount' in a linear relationship?

Back

A fixed amount refers to a constant value added to or subtracted from the total, regardless of the independent variable.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.