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GaryK
3 months ago
10

A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i

t approaches the ground. The time is in minutes.
What does t represent?
altitude of the balloontime after the balloon begins to descendtime it takes the balloon to reach the ground

What does a(t) represent?
altitude of the balloontime after the balloon begins to descendtime it takes the balloon to reach the ground

What information will a(5.5) give?
time it takes the balloon to reach an altitude of 5.5 feetaltitude of the balloon after 5.5 minutestime it will take the balloon to reach the ground, or 5.5 minutes
Mathematics
2 answers:
tester [12.3K]3 months ago
7 0

a(t) = 210 - 5t

(1) What does t represent?

Since t is given in minutes, it stands for time.

Interpreting t as the balloon’s altitude is incorrect since a(t) represents altitude.

-------------------------------------------------------------------------------------------------

Time elapsed since the balloon starts descending

This is the correct interpretation.

---------------------------------------------------------------------------------------------------

Time for the balloon to reach ground level is incorrect because that would be a fixed moment, not a variable t.

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(2) What does a(t) represent?

The balloon’s altitude

This is the correct answer.

-------------------------------------------------------------------------------------------------

Time since descent began is incorrect because that is represented by t.

---------------------------------------------------------------------------------------------------

Time to reach the ground is inaccurate since a(t) is altitude, not time.

---------------------------------------------------------------------------------------------------

(3) What does a(5.5) signify?

It does not represent the time to reach 5.5 feet altitude.

---------------------------------------------------------------------------------------------------

The altitude of the balloon after 5.5 minutes

This is the correct interpretation since a(5.5) is altitude when t = 5.5 minutes.

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It is not the time needed to reach the ground.

---------------------------------------------------------------------------------------------------

5.5 minutes alone is not correct because a(t) denotes altitude, not time.

a(5.5) refers to altitude at t = 5.5 minutes.

PIT_PIT [12.4K]3 months ago
3 0

Answer:

1. The duration since the balloon starts its descent

2. The balloon's elevation above ground

3. The balloon's height after 5.5 minutes of descent

Step-by-step explanation:

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