a 5 inch tall bamboo shoot doubles in height every 3 days. if the equation, y=ab^x where x is the number of doubling periods, re presents the height of the bamboo shot, what are the values of a and b?
1 answer:
X-doubling periods Y-height of bamboo Y=ab^x 1) make a table of values X Y 1 5 2 10 3 20 2) write equations and substitute 5=ab^1 —> a=5/b^1 —> a=5/b 10=ab^2 Substitute into second equation 10=(5/b)*b^2 10=5b^2/b 10=5b b=2 Substitute back in b=2 10=a*2^2 10=4a a=5/2 End equation: Y=5/2*2^x
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