Math Equations Flashcard

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the total cost of a taxi trip given a base fee and a per-mile charge?

Back

Total cost = base fee + (per-mile charge * number of miles traveled).

Front

What is the formula to calculate earnings for an employee with a bonus?

Back

Earnings = hourly rate * hours worked + bonus.

Front

How do you represent the total cost of purchasing multiple items with a fixed price and a delivery fee?

Back

Total cost = (price per item * number of items) + delivery fee.

Front

What is the formula for calculating the total cost of a gym membership with an initiation fee and monthly fees?

Back

Total cost = (monthly fee * number of months) + initiation fee.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or the cost per unit in a real-world scenario.

Front

How can you determine the number of items purchased if you know the total cost and the price per item?

Back

Number of items = (total cost - delivery fee) / price per item.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept represents the value of y when x is zero, often indicating a starting point or fixed cost.

Front

How do you set up an equation to model a situation involving fixed and variable costs?

Back

Identify fixed costs and variable costs, then create an equation that combines them based on the number of units.

Front

What is the relationship between hourly wage, hours worked, and total earnings?

Back

Total earnings = hourly wage * hours worked.