Help with understanding exponential growth. See Attatchment
where do u have problem wid ?
I don't understand the table in terms of how it goes from 300 to 400 and so on
just see that 300 goes to 600 in 2 jumps (the value is getting doubled in 2 jumps)
600 goes to 1200 in 2 jumps again
okay, that part makes sense because you multiply by two
u cud have written the function for this as : \(\large G = 300 . 2^{T/2}\)
everytime T is a multiple of 2, u get a whole number for the exponent part
put T=1 and see wat u get put T=0 and see wat u get
for 1 I get 300 and for 0 I get 150
how ?
put T=1 and see wat u get \(\large G = 300 . 2^{1/2}\) \(\large ~~~~=?\)
put T=1 and see wat u get \(\large G = 300 . 2^{1/2}\) \(\large ~~~~=300 . \sqrt{2} \) \(\large ~~~~=? \)
I put them into my calculator. Fr the first one I did 300(2)^1/2 and it came up with 300 for the second one it came up with a weird decimal
T=1, u should get 424.264... T=0, u shoudl get 300
put them in the revised function :- \(\large G = 300 . 2^{T/2}\)
I get 424.264 when I do \[300 x \sqrt{2}\]
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