Ari is filling a one-man hot-air balloon. he starts with only 3 feet3 of air in the balloon and observes that the volume doubles every minute. what equation can be used to find the number of minutes, m, it will take for the volume to reach a capacity of 24,576 feet3 of air?

Step-by-step explanation:

Given : Ari is filling a one-man hot-air balloon. He starts with only 3 cubic feet of air in the balloon and observes that the volume doubles every minute.

To Find: What equation can be used to find the number of minutes, m, it will take for the volume to reach a capacity of 24,576 cubic feet of air?

Solution:

Ari starts with only 3 cubic feet of air in the balloon and observes that the volume doubles every minute.

Let m be the number of minutes

The given situation forms G.P.

Formula of nth term in G.P. =

a is the first term = 3 cubic feet

r is the common ratio =2

We are required to find  equation can be used to find the number of minutes, m, it will take for the volume to reach a capacity of 24,576 feet3 of air

So,

Hence equation can be used to find the number of minutes, m, it will take for the volume to reach a capacity of 24,576 cubic feet of air is

no, x cannot be the same number. in all of them, x is 1. for one input there is another output. g is not a function

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