Writing Equations for Proportional Relationships: Distance and Time

This video tutorial explains how to write and graph linear functions using real-life scenarios, such as taxi cab fares. It covers the concept of linear relationships, the slope-intercept form, and common misunderstandings. The tutorial also demonstrates how to model scenarios with equations, identify independent and dependent variables, and use tables and graphs to analyze costs. By the end, viewers will understand how to apply these concepts to various situations.

What is the flat rate charged by the Superior Cab Company?

• $1.50

• $5.20

• $2.00

• $0.80

In the slope-intercept form Y = MX + B, what does 'B' represent?

• The slope of the line

• The y-intercept

• The rate of change

• The x-intercept

If a taxi company charges $1.50 per mile, what is the slope in the linear equation?

• $1.50

• $2.00

• $7.25

• $0.80

What is the y-intercept in the equation C = 1.5D + 2?

• 7.25

• 3.5

• 2

• 1.5

How much does it cost to travel 2 miles according to the equation C = 1.5D + 2?

• $6.50

• $3.00

• $5.00

• $4.50

What does a straight line on a graph of a linear function indicate?

• A constant rate of change

• A variable rate of change

• No relationship between variables

• A quadratic relationship

Which of the following points would satisfy the equation C = 1.5D + 2?

• (0, 2)

• (3, 4)

• (1, 1.5)

• (2, 3)