Question

In an Olympic archery event, the center of the target is set exactly 130 CM off the ground to get the high score of 10 points, and an archer shooting their arrow further than 3.05 CM from the exact center of the target. Write an absolute value inequality to represent the possible distances from the ground an archer can hit the target and still score 10 points. Graph the solution set of the inequality you wrote in part a.

Answer 1

The absolute value inequality to represent the possible distances from the ground an archer can hit the target and still score 10 points is |d - 130| ≤ 3.05.

Step-by-step explanation:

The student is asked to write an absolute value inequality to represent the distances from the center of the target an archer can hit and still score 10 points in an Olympic archery event. To get a high score of 10 points, the arrow must not hit further than 3.05 cm from the exact center. Using d to represent the distance from the exact center, the absolute value inequality that represents this situation is |d - 130| ≤ 3.05.

To graph the solution:

1. Plot the center of the target at 130 cm on the number line.
2. Mark points at 130 - 3.05 (126.95 cm) and 130 + 3.05 (133.05 cm) on either side of the center.
3. Shade the region between these two points to represent all possible distances an archer can hit the target and score 10 points.