Identifying types of linear word problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What is point-slope form of a linear equation?

Back

Point-slope form is used to write the equation of a line when you know a point on the line (x1, y1) and the slope (m). It is written as y - y1 = m(x - x1).

Front

How do you calculate the total cost of renting a boat for multiple days?

Back

To calculate the total cost of renting a boat for multiple days, sum the costs for each day based on the hours rented and any additional fees.

Front

What is the formula to find the cost per minute in a calling plan?

Back

To find the cost per minute in a calling plan, you can use the formula: Cost = Flat Fee + (Rate per Minute * Number of Minutes).

Front

How do you determine the number of days a book is late using a linear equation?

Back

To determine the number of days a book is late, set up the equation: Total Late Fee = Fixed Fee + (Daily Late Fee * Number of Days Late) and solve for the number of days.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you find the population at a future time using a linear equation?

Back

To find the population at a future time, use the equation: Future Population = Current Population + (Rate of Increase * Number of Years).

Front

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

Back

The slope represents the rate of change in the dependent variable with respect to the independent variable, indicating how much one quantity changes for a unit change in another.

Front

How do you set up a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and translate the relationships and conditions into an equation.