Lesson 9 Activity 3:

Consumers' Patterns in Entertainment

Using Formulas to Make Predictions


Let's explore formulas in entertainment!

In recent years, the way we get our entertainment has changed significantly. Satellite TV has become very popular, making hundreds of channels available to people all over Canada. The satellite provider makes available a selection of packages — each package with various channels at various prices.

kids with screens watching ahead
@pexels.com     


So how can we use formulas to make sure we are getting the best package available?



Getting the Right Satellite TV Package

Three college roommates, Ella, Ralph, and Steve, all enjoy watching television. Ralph likes watching action and entertainment shows. Ella likes sports and history channels. Steve likes science fiction and sports channels.

Two competing satellite companies, Tell Express View and Galaxy Choice, offer similar packages.

man with remote, girl eating popcorn

Galaxy Choice offers sports channels, an entertainment channel, several action stations, history channels, and a science fiction channel in one package for $50 per month.

Tell Express View has a package that has everything except the sports channels for $30. Additional channels cost $5 per month.

If Ella, Ralph, and Steve decide to go with Tell Express View, how many sports channels can they get and still pay the same price as they would with Galaxy Choice?


The cost of the Tell Express View plan can be represented by the following formula:

5C + 30 = T

(C is the number of channels and T is the total cost.)


We know that the total cost (T) is $50 (this is the monthly rate for Galaxy Choice).

Therefore, 5C ($5 x number of Channels) + 30 ($30 for the Tell Express View package) = $50

5 C + 30 = 50

You could use a chart to find the answer.



(C)hannels

5C + 30 =

 (T)otal Cost

 0

(5 x 0 + 30) =

 $30

 1

(5 x 1 + 30) =

 $35

 2

(5 x 2 + 30) =

 $40

 

3

(5 x 3 + 30) =

 $45

 4

(5 x 4 + 30) =

 $50



According to the chart, the roommates could get 4 sports channels and still pay the same price as they would with Galaxy Choice!


  Self-check!

Making Predictions

Try this!

Answer this question on your own first.

When you are finished, click on the tab below to check your answer!


Use the formula and the chart above to predict the cost of 6 additional channels. Use the patterns to help you find the answer.


5C + 30 = 50

(C)hannels

5C + 30 =

 (T)otal Cost

 0

(5 x 0 + 30) =

 $30

 1

(5 x 1 + 30) =

 $35

 2

(5 x 2 + 30) =

 $40

 

3

(5 x 3 + 30) =

 $45

 4

(5 x 4 + 30) =

 $50

 

 5

(5 x 5 + 30) =
 

 $55

 

 6

(5 x 6 + 30) =
 

 $60


According to the chart (and the pattern above), 6 additional channels would cost $30, so the package would cost $60.