To solve this problem you must follow the steps below:
1. The problem says that:
- The<span> hot air balloon is at an altitude of 240 feet.
- It descends at 30 feet per minute.
2. Therefore, you have:
x: the time in minutes.
y: the altitute in feet.
3. Keeping all this information on mind, you can write the following equation:
y=240-30x
4. Therefore, as you can see, the answer is:
</span>
y=240-30x
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➷ 40 = 1.8c + 32
Subtract 32 from both sides:
8 = 1.8c
Divide both sides by 1.8:
c = 4.4
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The way to get the equation for the radius (r) is to get r by itself. So divide each side by 4pi
500/4pi=r^2
Now take the square root of each side to get the equation of r.
sqrt(500/4pi)=r