A5 inch tall bamboo shoot doubles in height every 3 days. if the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot, what are the values of a and b?

Given the equations:

       ....[1]

where,

a is the initial amount

b is the growth rate.

x is the number of doubling period and

y represents the height of the bamboo shoot.

As per the statement:

A 5 inch tall bamboo shoot doubles in height every 3 days.

⇒y(0)=a= 5 inch

doubles in height every 3 days

then

in 1 days =  

then the height of the bamboo shot becomes:

⇒

On comparing with [1] we have;

⇒ and

Therefore, the value of a = 5 and  

my dear correct answer is option number 3

the answer is -1 1/5, also a

hope i

-lavira : )