Lesson 4

Discover

 

Try This 1

 

In 2008, the GST rate in Canada was reduced from 7% to 5%.

 

Cost of Item ($)	Amount Paid Before Tax ($)	5% GST ($)	7% GST ($)	Total Cost with 5% GST ($)	Total Cost with 7% GST ($)	Difference in Tax Amount ($)
1	1	0.05	0.07	1.05	1.07	0.02
2	2	0.10	0.14	2.10	2.14	0.04
3	3	0.15	0.21	3.15	3.21	0.06
4	4	0.20	0.28	4.20	4.28	0.08
5	5	0.25	0.35	5.25	5.35	0.10

1. Explain how the values in each of the columns can be determined.
2.  
   1. Explain a two-step process that can be used to determine the Total Cost with 5% GST from the cost of the item.
   2. Explain a one-step process to determine the Total Cost with 5% GST from the cost of the item.
   3. Explain a one-step process that can be used to determine the Difference in Tax Amount.
   4. Why might you be interested in using a one-step process instead of a multi-step process for these calculations?
3. Open Calculating Tax.
   
   
   
   1. Select to show only the plots for Amount Paid Before Tax, 5% GST, and Cost with 5% GST.
   2. Explain how the Cost with 5% GST points can be determined from the Amount Paid Before Tax points and the 5% GST points.
   3. Select to show only the 5% GST, 7% GST, and Difference in Tax Amount points. Explain how the Difference in Tax Amount points can be determined from the 5% GST points and the 7% GST points.

Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following question based on the information from Try This 1:

 

Suppose f(x) and g(x) represent the amount of tax paid on x dollars of goods purchased. How could you represent the difference in the amount paid for these two tax rates?

 

If required, save a record of your discussion in your course folder.