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A car travels along a motorway and the amount of petrol in it tank is monitored as shown on the graph on the next page. a) How much petrol was bought at the first ston?

A car travels along a motorway and the amount of petrol in it tank is monitored as shown on the graph on the next page. a) How much petrol was bought at the first ston?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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0. 50 100 150 200 250 300 C 35 65 95 Draw a graph of C against x. using scales of 2 cm for 50 km on the x-axis and 1 cm for $10 on the C-axis. a) Use the graph to find the number of miles travelled when the total cost was $71. b) What is the formula connecting C and x? A A car travels along a motorway and the amount of petrol in its tank is monitored as shown on the graph on the next page. a) How much petrol was bought at the first stop? b) What was the petrol consumption in km per litre: i) before the first stop ii) between the two stops? What was the average petrol consumption over the 200 km? c) 254 Graphs
Transcribed Image Text:0. 50 100 150 200 250 300 C 35 65 95 Draw a graph of C against x. using scales of 2 cm for 50 km on the x-axis and 1 cm for $10 on the C-axis. a) Use the graph to find the number of miles travelled when the total cost was $71. b) What is the formula connecting C and x? A A car travels along a motorway and the amount of petrol in its tank is monitored as shown on the graph on the next page. a) How much petrol was bought at the first stop? b) What was the petrol consumption in km per litre: i) before the first stop ii) between the two stops? What was the average petrol consumption over the 200 km? c) 254 Graphs
After it leaves the second service station the car is 45 stuck in slow traffic for the next 20 km. Its petrol 40 consumption is reduced to 4 km per litre. After that, the road clears and the car travels a further 75 km 35 30 during which time the consumption is 7.5 km/litre. Draw the graph above and extend it to show the next 25 20 95 km. 15 How much petrol is in the tank at the end of the 10 journey? 5. A firm makes a profit of P thousand dollars from producing x thousand tiles. Corresponding values of P and x are given below 100 200 Distance in kilometres 0.5 1.0 1.5 2.0 2.5 3.0 P -1.0 0.75 2.0 2.75 3.0 2.75 2.0 Petrol in tank (litres)
Transcribed Image Text:After it leaves the second service station the car is 45 stuck in slow traffic for the next 20 km. Its petrol 40 consumption is reduced to 4 km per litre. After that, the road clears and the car travels a further 75 km 35 30 during which time the consumption is 7.5 km/litre. Draw the graph above and extend it to show the next 25 20 95 km. 15 How much petrol is in the tank at the end of the 10 journey? 5. A firm makes a profit of P thousand dollars from producing x thousand tiles. Corresponding values of P and x are given below 100 200 Distance in kilometres 0.5 1.0 1.5 2.0 2.5 3.0 P -1.0 0.75 2.0 2.75 3.0 2.75 2.0 Petrol in tank (litres)
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