Question

What is the range of the graph that shows the bug's distance from Rachelle? The graph plots time in minutes versus distance in centimeters. The curve declines diagonally from (0, 350) to (5, 100), extends linearly to (6, 100), and rises steeply through (7, 250) and (8, 400).

1) 1 < x < 8
2) 100 < y < 400
3) 1 < y < 8
4) 100 < x < 400

Answer 1

The range of the graph showing the bug's distance from Rachelle is from 100 to 400 centimeters, represented by option 2, 100 < y < 400.

Step-by-step explanation:

The range of a graph refers to the span of values covered by the vertical axis, which in this context is distance in centimeters (y-axis). Given the description of the graph, where the distance decreases from 350 cm down to 100 cm, remains at 100 cm, and then rises steeply to 400 cm, the range would include all distance values from the smallest to the largest. The correct range is expressed as the set of distance values the bug is from Rachelle.

In this case, the smallest value is 100 cm, and the largest is 400 cm. Therefore, the range of the graph is from 100 to 400 cm. Answer number 2, 100 < y < 400, correctly represents the range of the bug's distance from Rachelle over time.