Explanation
Correct answer: A.
Choice A is correct. The line passes through the origin. Therefore, this is a relationship of the form , where is a constant representing the slope of the graph. To find the value of , choose a point on the graph of the line other than the origin and substitute the values of and into the equation. For example, if the point is chosen, then , and . Therefore, the equation of the line is .
Desmos solution:
Note: Enter the listed points in a Desmos table, then fit the regression; Desmos prints k=2.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from calculating the slope of the line as the change in time over the change in distance traveled instead of the change in distance traveled over the change in time.
Choice C
Choice C is incorrect because this equation represents a line with a -intercept of . However, the graph shows a line with a -intercept of .
Choice D
Choice D is incorrect because this equation represents a line with a -intercept of . However, the graph shows a line with a -intercept of .