📝 Oct 13: #19 (VOBS - Story Problems)

Front

What is a linear equation in the context of cost comparison?

Back

A linear equation represents a relationship between two quantities, often in the form of 'y = mx + b', where 'm' is the slope and 'b' is the y-intercept. In cost comparison, it helps determine when two different costs are equal.

Front

How do you set up an equation to compare costs of two products?

Back

Identify the fixed costs and variable costs for each product, then create an equation where the total cost of one product equals the total cost of the other.

Front

What does 'x' typically represent in cost comparison problems?

Back

In cost comparison problems, 'x' usually represents the number of items or units (like games, classes, or rides) that are being purchased or used.

Front

What is the significance of the intersection point in a cost comparison graph?

Back

The intersection point represents the quantity at which the total costs of the two options are equal, indicating the break-even point.

Front

How do you determine the number of units needed for two costs to be equal?

Back

Set the equations for both costs equal to each other and solve for 'x'.

Front

What is a fixed cost in a cost comparison scenario?

Back

A fixed cost is a cost that does not change regardless of the number of units produced or purchased, such as entry fees or installation fees.

Front

What is a variable cost in a cost comparison scenario?

Back

A variable cost is a cost that changes based on the number of units produced or purchased, such as the cost per ride or per class.

Front

How can you interpret the slope of a cost equation?

Back

The slope indicates the rate of change of the total cost with respect to the number of units; a steeper slope means a higher variable cost per unit.

Front

What is the first step in solving a story problem involving cost comparison?

Back

Read the problem carefully to identify the fixed and variable costs associated with each option.

Front

What is the purpose of writing an equation in a story problem?

Back

Writing an equation helps to mathematically represent the relationships between different costs, making it easier to solve for unknowns.