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Mathematics 16 Online
OpenStudy (partyshotz2409):

The graph shows a journey in a car. Which of the statements most likely describes the journey back to the starting point at the portion of the graph labeled O? http://prntscr.com/c0bmg6 The car travels different distances per unit of time, because the portion shows a linear, decreasing function. The car travels the same distance per unit of time, because the portion shows a linear, decreasing function. The car travels the same distance per unit of time, because the portion shows a nonlinear, decreasing function. The car travels different distances per unit of time, because the port

OpenStudy (mathstudent55):

Linear means a straight line. Nonlinear means not a straight line, such as a curve from a circle, parabola, etc.

OpenStudy (mathstudent55):

The first question: Look at portion O of the graph. Is is it a portion of a straight line (a line segment) or not?

OpenStudy (partyshotz2409):

no it's curved

OpenStudy (partyshotz2409):

no it's nonlinear

OpenStudy (partyshotz2409):

so would it be c or d

OpenStudy (mathstudent55):

Correct. It is not straight, so it is nonlinear.

OpenStudy (mathstudent55):

In a linear function, equal changes in the input cause equal changes in the output. If you drive at a constant speed, then you have a linear relation between time and distance traveled. One second of travel anywhere in the trip will correspond to the same distance. If the speed is not linear, then one second of travel corresponds to a certain distance in one part of the trip and to another distance in another part of the trip.

OpenStudy (mathstudent55):

You are correct. It is c or d. Now read the paragraph I wrote above and choose c or d.

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