Question

Daniel wants to predict how much time a hike will take based on the distance of the hike. He collected some data on the time (in hours) and distance (in kilometers) of some of his previous hikes. His data is summarized in the following table: Distance (km) 5.005.005, point, 00 8.008.008, point, 00 9.509.509, point, 50 16.0016.0016, point, 00 18.0018.0018, point, 00 Time (hours) 2.002.002, point, 00 2.752.752, point, 75 4.004.004, point, 00 7.257.257, point, 25 8.508.508, point, 50 All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the xxx-axis. Choose 1 answer: Choose 1 answer: (Choice A) A Graph A (Choice B) B Graph B (Choice C) C Graph C (Choice D) D Graph D Graph A provides Distance, in kilometers, from 0 to 20, in increments of 2, on the y-axis versus Time, in hours, from 0 to 10, in increments of 1, on the x-axis. 5 points rise diagonally between (2, 4.5) and (8.5, 18). All values estimated. ~~~~ space, space, space, space Graph B provides Distance, in kilometers, from 0 to 60, in increments of 5, on the y-axis versus Time, in hours, from 0 to 30, in increments of 5, on the x-axis. 5 points rise diagonally between (2, 4.5) and (8.5, 18). All values estimated. Graph C provides Time, in hours, from 0 to 10, in increments of 1, on the y-axis, versus Distance, in kilometers, from 0 to 20, in increments of 2, on the x-axis. 5 points rise diagonally between (4.5, 2) and (18, 8.5). All values estimated. ~~ space, space Graph D provides Time, in hours, from 0 to 30, in increments of 5, on the y-axis, versus Distance, in kilometers, from 0 to 60, in increments of 5, on the x-axis. 5 points rise diagonally between (4.5, 2) and (18, 8.5). All values estimated.
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Answer 1

Daniel wants to predict how far he can hike based on the time he spends on the hike  He collected some data on the time in hours) and distance (in kilometers) of some of his previous hikes. balancing outcome that shows the opposite of kilometres walked (eg extreme higher mileage within the hour/s)

Answer 2

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Answer:

  graph C

Explanation:

Daniel has chosen the distance to be his explanatory variable, so that is the one that should be plotted on the x-axis. Distance has a range from 4.5 to 18, so a scale from 0 to 20 works better than a scale from 0 to 60.

Graph C is the one that matches this description.