The number of bacteria in an experiment can be represented by f(x) = 4*,
where x represents the number of hours.
what is x when fx) = 64?
o
a. x = 3; in the 3rd hour there will be 64 bacteria.
. x = 16; in the 16th hour there will be 64 bacteria.
o
c. x = 60; in the 60th hour there will be 64 bacteria.
o
d. x= 4; in the 4th hour there will be 64 bacteria.

The correct option is A.

Explanation:

The number of bacteria in an experiment can be represented by an exponential function

where, x represents the number of hours.

We need to find the value of x when f(x)=64.

Substitute f(x)=64 in the given function.

It can be rewritten as

On comparing both sides by get

The value of x is 3.

Since f(3)=64 it means the population of bacteria is 64 in 3rd hour.

Therefore the correct option is A.

The number of bacteria is represented with a function,

The practise says therefore,

We can rewrite this,

If bases are equal then exponents are too, from here the solution emerges,

The answer is A.

Hope this helps.

r3t40