# A1- Introduction to Mathematical Modelling.pdf - Rylan...

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Rylan Brecht 15/02/21 A1- Introduction to Mathematical Modelling 1. The following graph shows the fuel consumption for a vehicle driving at different speeds. Use the graph to answer the following questions below. a) Does the relationship between fuel consumption appear to be linear? Explain. No it does not appear to be linear, for it to be a linear relationship the line would have to be straight therefore the data would have to be different. b) At what driving speed is fuel consumption the least? The driving speed where fuel consumption is the least would be between 80-90 km/h. c) Suppose you were driving to a friends cottage, a distance of 300 km. Determine the amount of money you would save over the return trip by driving at 90 km/h versus 120 km/h. Assume the gas costs \$1.00 per litre. When driving at 120 km/h the fuel consumption is about 11L/100km. When driving at a speed of 120 km/h for 300km the fuel consumption would be about 33L, that would mean it would cost \$33.00 if gas was \$1 per litre. When driving at 90 km/h the fuel consumption looks to be about 7L/100km, that would mean the fuel consumption would
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