Answer: the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option B.
What is graph?
In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.
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To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.
For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.
For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.
After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.
After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.
The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.
As a result, the right graph is option B, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.