Question

Right after takeoff, a hot air balloon ascends at a constant rate of 400 feet per minute.
Complete the table to show the hot air balloon’s elevation after takeoff.
Time since takeoff (min) Elevation (ft)
0 0
1
2
3
4

Answer 1

To calculate the elevation of the hot air balloon after each minute, you can use the formula:

\[
\text{Elevation (ft)} = \text{Rate (ft/min)} \times \text{Time (min)}
\]

Given that the hot air balloon ascends at a constant rate of 400 feet per minute, we can fill in the table.

- At 0 minutes: Elevation = \( 400 \times 0 = 0 \) ft
- At 1 minute: Elevation = \( 400 \times 1 = 400 \) ft
- At 2 minutes: Elevation = \( 400 \times 2 = 800 \) ft
- At 3 minutes: Elevation = \( 400 \times 3 = 1200 \) ft
- At 4 minutes: Elevation = \( 400 \times 4 = 1600 \) ft

Now, the completed table is:

| Time since takeoff (min) | Elevation (ft) |
|--------------------------|----------------|
| 0 | 0 |
| 1 | 400 |
| 2 | 800 |
| 3 | 1200 |
| 4 | 1600 |