The graph below shows the amount of fuel used (in liters per 100 km) when drivin

Question

The graph below shows the amount of fuel used (in liters per 100 km) when driving a car at a given speed (in km/h). Which of the following statements best describes the graph? 14. 14. s 15 5 1 UU Speed (kmh) (a) The scatterplot could be modeled best with one linear equation with an increasing slope. (b) The scatterplot could be modeled best with one linear equation with a decreasing slope (c) The scatterplot could be modeled best with a piecewise equation with one non-linear segment for speeds below 60 km/h and one linear segment from 60 to 150 km/h. (d) The scatterplot could be modeled best with a piecewise equation with one non-linear segment from 0 to 15 km/h and one linear segment from 15 to 20 km/h. (e) The scatterplot cannot be modeled with linear equations; no linear trends are visible.

Explanation / Answer

First two options (a) and (b) are wrong because the graph is not completely linear.Upto 60km/h it is non-linear graph.From 60km/h to 150km/h it is looking like straight line dots.But there are not exactly in straight line means (c) is wrong.In option (d), it is showing to intervals 0 to 15km/h and 60 to 150km/h which means it showing the y-axis but y-axis units are not km/h.So the answer is (e) The scatterplot cannot be modeled with linear equations;no linear trends are visible.

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