The graph describes Andres movement in the park relative to the position
of his bike with time.
The correct responses are;
- The graph has multiple horizontal intercept: F
- A horizontal intercept of the graph represent the time when Andre was with his bike: T
- A minimum of the graph is (17, 1): T
- The graph has two maximums: T
- About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: T
Reasons:
- 1. The graph has only one horizontal x and y-intercept at the origin of the graph, the correct option is false, F
An horizontal line of the graph represents a stationary point on the graph, the x-intercept represent the points when Andre is next to his bike, therefore;
- 2. At the horizontal intercept of the graph, Andre was with his bike, the correct option is true, T
The point with coordinates (17, 1) represent a local minimum of the graph, therefore;
- 3. Point (17, 1) is a minimum of the graph, the correct option is true, T
The maximum points are points having higher vertical coordinate values compared to the surrounding points.
- 4. Therefore, the points (9, 8), and (21, 8.3) represent two maximum points on the graph, the correct option is true, T
The point that gives the highest value of the maximum points, which is at (21, 8.3) is the point at which he was farthest away from the bike.
- 5. Therefore, he was farthest away from his bike at 8.3 feet, 21 seconds after he left his bike. The correct option is true, T
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