Solve linear equations: word problems Tommy has already cycled 1 kilometer this year,plus he plans to cycle 2 kilometers during
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A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>
<em><u /></em>
The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.
When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.
<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>
<em><u>There are usually two </u></em><em><u>variables</u></em><em><u>: </u></em>
- Independent variable which causes the change.
- Dependent variable which responds to the change caused by the independent variable.
A situation where one quantity (dependent variable) changes constantly in relation to another quantity (independent variable) is a situation of the amount you pay at a gas station for filling your car with a certain quantity of gallons of gas.
The two quantities are directly proportional to each other.
<em>That is:</em>
- The cost of gas in dollars (independent variable) is directly proportional to the quantity of gas in gallons (dependent variable).
- As the quantity of gas increased in gallons, there would be equal increase in the cost of gas in dollars you would pay.
If we are to represent this on a graph, the graph will be a straight line graph showing a proportional relationship between cost of gas (on the y-axis) and quantity of gas (on the x-axis)
<em>(see the image in the attachment below).</em>
<em>Therefore:</em>
- A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>
<em><u /></em>
- The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.
- When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.
<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>
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