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Lesson: Identifying Linear Relationships

Come and discover linear relationships and how to use them to solve problems. In this lesson you will learn how to solve problems by identifying linear patterns in concepts.

Video: Introducing Graphs of Linear Equations or Straight Lines

Video: Representing Linear Functions with Algebra, Tables of Values, and Graphs

Video: Introducing Linear Functions Using y = mx + b

Worksheet: Linear Relationships • 9 Questions

Q1:

The graph shows the average number of heartbeats of an elephant over time. Which of the following is represented by the point ?

AAn elephant’s heart normally beats 4 times in 120 minutes.
BAn elephant’s heart normally beats 4 times in 30 minutes.
CAn elephant’s heart normally beats 120 times in 4 minutes.
DAn elephant’s heart normally beats 120 times in 1 minute.
EAn elephant’s heart normally beats 30 times in 4 minutes.

Q2:

Which of the following functions increases at a higher rate?

A(a)
B(b)

Q3:

The graph shows the relationship between distance and time in a 160-meter race between a hare and a tortoise. Determine the winner, and then find the average speeds of the hare and the tortoise.

Athe tortoise, ,
Bthe tortoise, ,
Cthe hare, ,
Dthe hare, ,

Q4:

The given figure shows the relation between the covered distance in kilometers and the elapsed time in hours for two trains, A and B, between two railroad stations. Find the average speed of each train.

Aaverage speed of train A , average speed of train B
Baverage speed of train A , average speed of train B
Caverage speed of train A , average speed of train B
Daverage speed of train A , average speed of train B
Eaverage speed of train A , average speed of train B

Q5:

Aaverage speed of train A , average speed of train B
Baverage speed of train A , average speed of train B
Caverage speed of train A , average speed of train B
Daverage speed of train A , average speed of train B

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