Variables & Patterns 2.1

Front

What is a variable?

Back

A variable is a symbol or letter that represents a number in mathematical expressions or equations.

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or predictable sequence of numbers, shapes, or other elements.

Front

How does the cost change with the number of laps raced?

Back

The cost increases as the number of laps increases, often at a constant rate.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that as one variable changes, the other variable changes at a constant rate.

Front

If the cost increases by $20 for every 10 laps, what is the cost increase per lap?

Back

The cost increases by $2 for each lap.

Front

What are independent and dependent variables?

Back

The independent variable is the one that is changed or controlled, while the dependent variable is the one that is measured or affected.

Front

What is the formula for finding the total cost based on laps raced?

Back

Total Cost = (Cost per lap) x (Number of laps raced).

Front

What does it mean for a graph to have a constant rate of change?

Back

It means that the slope of the graph is consistent, indicating a steady increase or decrease.

Front

How can you estimate costs from a graph?

Back

You can find the corresponding value on the graph for the number of laps to estimate the cost.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.