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Question
the hot air balloon starts descending from an elevation of 2,400 feet. it descends at a constant rate of 400 feet per minute. complete the table to show the balloon’s elevation after it started to descend. time since balloon started to descend (min) elevation (ft) 0 2,400 1 \boxed{} 2 \boxed{} 3 \boxed{} 4 \boxed{}
Step1: Define elevation formula
Let $t$ = time (min), elevation $E(t) = 2400 - 400t$
Step2: Calculate at t=1
$E(1) = 2400 - 400(1) = 2000$
Step3: Calculate at t=2
$E(2) = 2400 - 400(2) = 1600$
Step4: Calculate at t=3
$E(3) = 2400 - 400(3) = 1200$
Step5: Calculate at t=4
$E(4) = 2400 - 400(4) = 800$
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| Time since balloon started to descend (min) | Elevation (ft) |
|---|---|
| 1 | 2,000 |
| 2 | 1,600 |
| 3 | 1,200 |
| 4 | 800 |