Math Problem Statement

A hot air balloon is rising at a constant rate. The relationship between its height above the ground and the time since it left the ground is shown in the following graph. A scatter plot showing the relationship between time and height. The x-axis is labeled 'Time open parenthesis minutes close parenthesis' and ranges from 1 to 5 in increments of 1, while the y-axis is labeled 'Height open parenthesis meters close parenthesis' and ranges from 20 to 120 in increments of 20. One filled point is plotted, located at (2,40). Origin is highlighted by a filled point. An arrow starts from the origin (0, 0) and passes through the point (2,40) and rises in top right direction. [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{20}] [\small{40}] [\small{60}] [\small{80}] [\small{100}] [\small{120}] Which statements about the graph are true? Choose all answers that apply: Choose all answers that apply: (Choice A) The point [(0, 0)] shows that the hot air balloon is free to ride. A The point [(0, 0)] shows that the hot air balloon is free to ride. (Choice B) The point [(2, 40)] shows that the hot air balloon is at a height of [2 \text{ m}] after [40] seconds. B The point [(2, 40)] shows that the hot air balloon is at a height of [2 \text{ m}] after [40] seconds. (Choice C) None of the above C None of the above

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Solution

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Linear relationships

Formulas

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Theorems

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Suitable Grade Level

High school