The problem presents a graph representing Andre's distance from his bicycle as he walks in a park. The x-axis represents time in seconds, and the y-axis represents distance in feet. We need to determine whether the following statements are true or false based on the graph: a. The graph has multiple horizontal intercepts. b. A horizontal intercept of the graph represents the time when Andre was with his bike. c. A minimum of the graph is (17, 1). d. The graph has two maximums. e. About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet.

1. Problem Description

The problem presents a graph representing Andre's distance from his bicycle as he walks in a park. The x-axis represents time in seconds, and the y-axis represents distance in feet. We need to determine whether the following statements are true or false based on the graph:

a. The graph has multiple horizontal intercepts.

b. A horizontal intercept of the graph represents the time when Andre was with his bike.

c. A minimum of the graph is (17, 1).

d. The graph has two maximums.

e. About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet.

2. Solution Steps

a. A horizontal intercept is a point where the graph intersects the x-axis (where y=0). The graph intersects the x-axis at $x=0$ and at approximately $x=27.5$. Therefore, the graph has multiple horizontal intercepts. Statement (a) is true.

b. A horizontal intercept means the distance from the bike is

0. Thus, Andre is with his bike. Statement (b) is true.

c. A minimum of the graph is the lowest point on the graph. From the graph, we can see that the minimum occurs around $x=17$, and the corresponding y-value is approximately

1. The minimum appears to be close to (17,1). Statement (c) is true.

d. A maximum of the graph is a peak or highest point on the graph. From the graph, we can see that there are two maximum points, one at around x=8 and another at around x=

2

1. Statement (d) is true.

e. "About 21 seconds after he left his bike..." This refers to the second peak in the graph, located at approximately x=21 seconds. At this point, the y-value, which represents the distance from his bike, is around 8.3 feet. Statement (e) is true.

3. Final Answer

a. True

b. True

c. True

d. True

e. True