1. Lesson 4

1.2. Explore

Mathematics 30-3 Module 3

Module 3: Algebra

 

Explore

 

This is a photo of hoses hanging from a gas pump.

© corepics/34195429/Fotolia

In Discover you probably found that the independent variable is the distance travelled by a cab, and the dependent variable is the cost of the cab ride. Your graph is a linear relation and should have resembled the following graph:

 

This is a scatterplot graph with a horizontal axis labelled Distance (km) and a vertical axis labelled Cost ($). Two points are marked and a line is drawn through the points. The line rises from (0, 4) to about (5, 13.50).

 

The slope of your graph represents the cost per kilometre and the y-intercept represents the fixed cost. Finding the y-intercept is an example of extrapolation. It would be an example of interpolation to estimate the cost of a 3.5-km trip from the graph.

 

Try This 2


textbook

Respond to “Discuss the Ideas: Forecasting Based on a Trend” questions 1 to 3 on pages 56 and 57 of the textbook.

 

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Share 2

 

With a partner or in a small group, discuss your responses to Try This 2 and the following question.

  • Would this data be accurate for any major Canadian city?

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Try This 3


search

Pick another major Canadian city and research the average house price from 2002 to present. Start your search by entering the name of the city followed by “average house price 2002 to present” in an Internet search engine.

 

What changes would be made to the slope and y-intercept if a different city were considered? Explain.

 

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