12/4 Multiple Representations - 4.3 Linear Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much the dependent variable (y) changes for a one-unit increase in the independent variable (x).

Front

In the context of a linear function, what is the independent variable?

Back

The independent variable is the variable that represents the input of the function, often denoted as x. It is the variable that you can control or change.

Front

In the context of a linear function, what is the dependent variable?

Back

The dependent variable is the variable that represents the output of the function, often denoted as y. It depends on the value of the independent variable.

Front

What is the y-intercept in a linear function?

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 cost in a linear function scenario?

Back

To find the total cost, you can use the formula: Total Cost = Fixed Cost + (Variable Cost per unit * Number of units).

Front

What is a rate of change in a linear function?

Back

The rate of change is the same as the slope of the line. It shows how much the output (y) changes for a change in the input (x).

Front

If Clare charges $20 to come to your home and $30 per hour to groom, what is her fixed cost?

Back

Her fixed cost is $20, which is the charge for coming to your home.

Front

If Derrick earns $10 per hour, what is his total earnings after 5 hours?

Back

His total earnings after 5 hours would be $10 * 5 = $50.

Front

What is the formula to calculate total earnings based on hours worked?

Back

Total Earnings = Hourly Wage * Number of Hours Worked.