$V(t)=5+20e^{-kt}$, where $t\geq0$ and $k$ is a positive constant. Write down the initial volu

Question

$V(t)=5+20e^{-kt}$, where $t\geq0$ and $k$ is a positive constant. Write down the initial volume inside the balloon. After $4$ minutes, the volume of air inside the balloon is half the initial volume. Find the value of $k$. Find the time at which the volume of air inside the balloon is $8$ cubic metres.

Accepted Answer

(a) $25\text{ m}^3$ (b) $k=0.245$ (c) $t=7.74\text{ min}$

IB AA HL May 2026 P2 TZC Q3

IB AA HL May 2026 P2 TZC Q3

Solution:

Solution locked