Graphic Representations of a Pattern - Lesson
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When given an equation or a table of data, often it is necessary to draw a graphic representation to visualize and analyze the pattern.
 

The XYZ company is a new company that manufactures school busses.  The table below displays how many busses the company built in the first four days.  If the company can keep producing busses at this rate, complete the table and construct a line graph representing the data.  Let the x-axis represent the days and the y-axis represent the number of busses produced.

Day 1 2 3 4 5 6 7
Total Built 4 9 14 19      

Let's take a look at the pattern...

Each day of production, the total built is increasing by 5 busses.  So...  the table could be finished like this...

Day 1 2 3 4 5 6 7
Total Built 4 9 14 19 24 29 34

Now we need to construct a line graph using this data.

Can we now predict the number of busses that will be produced on day 10?  Absolutely!!!  We can just extend our table...

Day 8 9 10
Total Built 39 44 49

 

Let's look at another problem and practice!

 

 
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