Given: You wanted to know the relationship between the distance travelled byyour car (x) and its fuel consumption (y). You have decided to take a daily notefor one week to compare the two quantities (See Table 4). Table 4 – Car Fuel Consumption Answer the following: 1. What is the constant of variation? ___________________________________ 2. Make a mathematical equation: _____________________________________ 3. Write the relationship in a sentence: ________________________________________________________________________ 4. What type of variation does the table represent? ______________________ 5. Give the variation statement: ________________________________________ d in proportion to the number of attendees. Distance travelled in km (x) 2 3 4 5 6 Fuel consumption in L (y) 14 21 28 35 42
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Given: You wanted to know the relationship between the distance travelled byyour car (x) and its fuel consumption (y). You have decided to take a daily notefor one week to compare the two quantities (See Table 4).
Table 4 – Car Fuel Consumption
Answer the following:
1. What is the constant of variation? ___________________________________
2. Make a mathematical equation: _____________________________________
3. Write the relationship in a sentence:
________________________________________________________________________
4. What type of variation does the table represent? ______________________
5. Give the variation statement: ________________________________________
d in proportion to the number of attendees.
Distance travelled in km (x) 2 3 4 5 6
Fuel consumption in L (y) 14 21 28 35 42
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