Answer:
[tex]H(t) = 3*2^{t/30}[/tex]
Step-by-step explanation:
Height doubles at every 30 seconds, so let's call n how many times it happens, and the t the total time:
n = t/30
If the height doubles one time, it is multiplied by 2, if it doubles 2 times, it's multiplied by 2², for n times, it is multiplied by 2ⁿ, so for an initial height equal to 3:
[tex]H(t) = 3*2^{t/30}[/tex]
