Defining variables

Front

What is a variable in mathematics?

Back

A symbol used to represent an unknown value or a value that can change.

Front

Define 'total cost' in a financial context.

Back

The overall amount of money spent, including all fees and charges.

Front

What does 'startup fee' mean?

Back

An initial charge required to begin a service or membership.

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line, indicating the rate of change.

Front

What is the purpose of defining variables in a problem?

Back

To clarify what each symbol represents, making it easier to solve the problem.

Front

If a bike rents for $4 plus $1.50 per hour, how would you express the total cost (y) in terms of the number of hours (x)?

Back

y = 4 + 1.50x.

Front

What does 'number of months' refer to in a subscription model?

Back

The total duration for which a service is paid for on a monthly basis.

Front

How do you calculate total cost when there are fixed and variable costs?

Back

Total Cost = Fixed Costs + (Variable Cost per unit * Number of units).

Front

What is the significance of defining 'x' in a problem?

Back

It helps to identify the independent variable that affects the outcome.

Front

In a scenario where Zoe buys hats and gloves, what does 'number of hats purchased' represent?

Back

The quantity of hats that Zoe bought, which is a variable in the total cost calculation.