This graph represents Andre's distance from his bicycle
as he walks in a park.
Decide whether the following statements are true or
false.

The graph has multiple horizontal intercepts: T or F

A horizontal intercept of the graph represents the time when Andre was with his bike: T or F

A minimum of the graph is (17, 1): T or F

The graph has two maximums: T or F

About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: T or F

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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