Real World Applications of Linear Equations

What is the first step in solving real-world problems involving linear equations?

• Draw a graph

• Pick out the important information

• Calculate the slope

• Identify the variables

How much does Jenny pay per hour to rent the bike?

• $8

• $7

• $6

• $5

What is the flat fee Jenny pays to rent the baby seat?

• $5

• $8

• $6

• $7

What does the graph show in the context of Jenny's bike rental?

• Total distance traveled

• Total cost over time

• Total number of hours rented

• Total number of bikes rented

What is the vertical intercept in the graph, and what does it represent?

• $8, representing the flat fee

• $7, representing the hourly rate

• $0, representing no cost

• $64, representing the total cost

How do you calculate the slope of the graph?

• Multiply the x-values and y-values

• Subtract the x-values and divide by the y-values

• Subtract the y-values and divide by the x-values

• Add the x-values and y-values

What does the slope of 7 represent in this context?

• The total cost

• The flat fee

• The number of hours

• The hourly rate

What is the linear equation form used in this problem?

• y = m + bx

• y = mx - b

• y = x + b

• y = mx + b

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

• The x-intercept

• The y-intercept

• The slope

• The rate of change

What should you keep in mind when working through word problems involving linear relationships?

• The x-intercept is always positive

• The slope is always zero

• The rate of change and the constant value

• The y-intercept is always the same