Henry's+Notes+-+Categorizing+a+Linear+Relationship+Based+on+Graph

__Categorizing a Linear Relationship Based on Graph__ - Remember: direct variation is ___ and partial variation is _____ - Direct variation will always cross the point of origin (0,0) on a graph the value of x is always a factor of y -each variable is proportional to each other -                 Wild rice retails at $5.00 per 500g bag. Here, the bags of rice is proportional to each other as one bag of rice would be five dollars

- Partial variation will not cross the point of origin as the x is not always a factor of y -   || || ** Sales ** || 0 || 1000 ||  5000 ||  10 000 ||  15 000 ||  20 000 || ** Commission ** || 0 || 20 ||  100 ||  200 ||  300 ||  400 || ** Basic income ** || 500 || 500 ||  500 ||  500 ||  500 ||  500 || ** Total income ** || 500 || 520 ||  600 ||  700 ||  800 ||  900 || A car salesman earns $500.00/month plus 2% of total sales. Here, the linear relation between sales and total income is not proportional. The value of the x axis has two components: 1. The constant (basic income) 2. A variable (Commission) The result is a linear relation that does not intersect at the point of origin. Let’s look deeper into the constant part of a partial variation __Partial Variation- Constant__ - Eg. John is planning a end of year banquet. The cost is $200 for the rents. An additional $50 is added for each guest. For this statement, a equation could be made : C=50n+ 200 This means: The total cost is equal to 50 dollar for ‘n’ people and 200 dollars - the fixed cost is $200 as under any condition, John will need to pay 200 dollars. ** Sales ** || 0 || 1000 ||  5000 ||  10 000 ||  15 000 ||  20 000 || ** Commission ** || 0 || 20 ||  100 ||  200 ||  300 ||  400 || ** Basic income ** || 500 || 500 ||  500 ||  500 ||  500 ||  500 || ** Total income ** || 500 || 520 ||  600 ||  700 ||  800 ||  900 || A car salesman earns $500.00/month plus 2% of total sales. On the y axis, a point is placed at the $500 mark. It shows this is a partial variation as there is a constant (fixed) value.