Final answer:
For plotting the height of a hot air balloon, ordered pairs representing time and height are plotted on a coordinate grid. If the time interval changes from 1 minute to 15 seconds, there would be a higher number of ordered pairs, offering a more detailed view of the balloon's ascent.
Step-by-step explanation:
To answer how a student should plot the height of a hot air balloon at different time intervals on a coordinate grid, we must consider that the table provided would give us a series of ordered pairs where the first number of each pair represents the time in minutes, and the second number represents the height.
For instance, if the heights at 1, 2, 3, 4, and 5 minutes are 100 meters, 150 meters, 200 meters, 250 meters, and 300 meters respectively, the ordered pairs would be (1, 100), (2, 150), (3, 200), (4, 250), and (5,300). To plot these on a coordinate grid, you would place a point for each ordered pair, with the first number representing the position along the horizontal (time) axis and the second the position along the vertical (height) axis.
However, if the measurements were taken every 15 seconds instead of every minute, the ordered pairs would represent much finer intervals of time. You would have four times as many points to plot for the same time duration, which would provide more detail and potentially show more nuances in how the balloon's height is changing moment to moment.