Question

A balloon with a small leak loses 1% of its volume each day. If it originally contained 24 liters of gas, what is the volume of the gas after one week? I got 24(.01)^7 but it was wrong I’m not sure why

Answer 1

Answer:

approx. 22.4 liters

Step-by-step explanation:

If you lose 1%, you will have 0.99 times the original volume.

So you were close, but 24*(0.99)^7 ≈ 22.4 would be the way to calculate it.

Answer 2

Answer: After 1 week volume of the gas will be 22.369 Litres.

Step-by-step explanation: It loses 1% each day

                                           so it is left with = 1- 1% = 1-0.01 = 0.99

therefore   after one day it left with = 24 (1-0.01) = 24(.99)

                   after two days =            = 24 ( .99) (.99) or $24(.99)^{2}$

                   after three days= $24(.99)^{3}$

                  after seven days =  $24(.99)^{7}$

                                                 = 22.369 Litres