Variables and Patterns

Front

What is a dependent variable?

Back

The dependent variable is the outcome or the variable that is affected by changes in the independent variable. In the context of Marcus's video game shopping, the dependent variable is the Cost.

Front

What is an independent variable?

Back

The independent variable is the variable that is changed or controlled in an experiment to test its effects on the dependent variable. In Marcus's case, the independent variable is the Number of Videos.

Front

What is the equation for the cost of buying n video games from Maywood Video?

Back

C = 60n, where C is the total cost and n is the number of video games.

Front

How do you calculate the total cost at Discount Super Store for buying n video games?

Back

Total Cost = Membership Fee + (Cost per Game × Number of Games) = 30 + (40 × n).

Front

If Marcus buys 3 games at Discount Super Store, what is the total cost?

Back

Total Cost = 30 + (40 × 3) = 30 + 120 = $150.

Front

What is the cost per game at Maywood Video?

Back

The cost per game at Maywood Video is $60.

Front

What is the membership fee at Discount Super Store?

Back

The membership fee at Discount Super Store is $30.

Front

If Marcus buys 5 games at Maywood Video, what is the total cost?

Back

Total Cost = 60 × 5 = $300.

Front

What does a graph of the cost at Discount Super Store look like?

Back

The graph would show a linear relationship, starting at $30 (the membership fee) and increasing by $40 for each additional game.

Front

What is the relationship between the number of games and the total cost at Discount Super Store?

Back

The relationship is linear; as the number of games increases, the total cost increases at a constant rate of $40 per game.