Unit 3 Review for Math 8

Front

What is the equation for a linear function with a fixed cost and a variable cost per unit?

Back

The equation is of the form: y = mx + b, where m is the variable cost per unit and b is the fixed cost.

Front

What does the term 'rate of change' mean in mathematics?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often represented as a slope in a linear function.

Front

How do you determine the fixed cost in a linear equation?

Back

The fixed cost is the value of y when x = 0 in the equation y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a pizza costs $8.00 plus $0.50 for each topping, what is the function that models this situation?

Back

The function is y = 0.50x + 8, where x is the number of toppings.

Front

What is the significance of the slope in a linear equation?

Back

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

Front

How do you find the total cost if the delivery fee is $50 and the cost per cubic yard of gravel is $75?

Back

The total cost can be modeled by the equation y = 75x + 50, where x is the number of cubic yards.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they have the same rate of change and are parallel to each other.

Front

What is a variable cost in a linear function?

Back

A variable cost is a cost that changes with the level of output or activity, represented by the slope in the equation.

Front

How can you identify the greater rate of change between two linear functions?

Back

Compare the slopes of the functions; the function with the larger slope has the greater rate of change.