Slope Word Problems and Graphs

Front

What is the equation to represent a savings account balance over time if a person starts with an initial amount and saves a fixed amount each month?

Back

y = mx + b, where m is the amount saved per month and b is the initial amount.

Front

In the equation y = 40x + 150, what do the variables represent?

Back

y represents the total amount in the savings account after x months, 40 is the amount saved per month, and 150 is the initial amount.

Front

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

Back

The slope represents the rate of change, such as the amount earned or saved per unit of time.

Front

How do you identify the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, represented as (0, b) in the equation y = mx + b.

Front

What is the significance of the y-intercept in a word problem involving money?

Back

The y-intercept represents the initial amount of money before any additional earnings or savings.

Front

Write the equation for a situation where a person earns a fixed hourly wage and has an initial amount of money. What does each part of the equation represent?

Back

y = wx + b, where w is the hourly wage, x is the number of hours worked, and b is the initial amount.

Front

In the context of a job that pays $15 per hour with an initial amount of $20, what is the equation?

Back

y = 15x + 20.

Front

What does the slope of the equation y = 15x + 20 represent?

Back

The slope (15) represents the amount of money earned per hour worked.

Front

If a holiday meal costs $12.50 per person plus a delivery fee of $30, what is the equation representing the total cost?

Back

y = 12.5x + 30.

Front

In the equation y = 12.5x + 30, what does the variable x represent?

Back

x represents the number of people for whom the meal is being ordered.