The cost of one liter of petrol was 1,100.00. Create a table of values to show the cost of 2, 3, 4, 5, and 6 liters of petrol. Use a scale of 2cm to 1 liter on the horizontal axis and a scale of 2cm to N1,000.00 on the vertical axis.
Answer (2)
The cost for 2, 3, 4, 5, and 6 litres of petrol are calculated as N2,200, N3,300, N4,400, N5,500, and N6,600 respectively. These values can be represented in a table. The specified scales for a possible graph are 2 cm per litre on the horizontal axis and 2 cm per N1,000.00 on the vertical axis.
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The costs are \boxed{2200, 3300, 4400, 5500, 6600} for 2, 3, 4, 5, and 6 litres respectively.
Explanation
Understanding the Problem We are given that one litre of petrol costs $1,100.00. We need to find the cost of 2, 3, 4, 5, and 6 litres of petrol and present the data in a table. We also need to specify the scales for the horizontal and vertical axes if we were to plot this data on a graph.
Calculating the Costs To find the cost of each quantity of petrol, we multiply the number of litres by the cost per litre, which is $1,100.00.
Cost of 2 Litres The cost for 2 litres is 2 × 1100 = $2200 .
Cost of 3 Litres The cost for 3 litres is 3 × 1100 = $3300 .
Cost of 4 Litres The cost for 4 litres is 4 × 1100 = $4400 .
Cost of 5 Litres The cost for 5 litres is 5 × 1100 = $5500 .
Cost of 6 Litres The cost for 6 litres is 6 × 1100 = $6600 .
Creating the Table and Specifying Scales Now, let's create the table:
Litres of Petrol
Cost ($)
2
2200
3
3300
4
4400
5
5500
6
6600
If we were to plot this data, the horizontal axis (x-axis) would represent the litres of petrol, and the vertical axis (y-axis) would represent the cost in $. The scales are:
Horizontal axis: 2cm to 1 litre
Vertical axis: 2cm to $1,000.00
Final Answer The table showing the cost of 2, 3, 4, 5, and 6 litres of petrol is created, and the scales for the horizontal and vertical axes are specified as 2cm to 1 litre and 2cm to $1,000.00, respectively.
Examples
Understanding the relationship between the quantity of petrol purchased and its cost is a practical application of linear relationships. For example, if you're planning a road trip, knowing the cost per litre helps you estimate your fuel expenses based on the distance you'll travel. This is also useful in budgeting and financial planning, where you can predict costs based on consumption rates. Moreover, businesses use similar calculations to manage inventory and pricing strategies, ensuring they can accurately forecast expenses and set prices to maintain profitability.
