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.

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r3t40 r3t40 · Answer 1 · 2019-07-11T20:13:35+02:00

The number of bacteria is represented with a function,

[tex]f(x)=4^x[/tex]

The practise says [tex]f(x)=64[/tex] therefore,

[tex]64=4^x[/tex]

We can rewrite this,

[tex]4^x=4^3[/tex]

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

[tex]\boxed{x=3}[/tex]

The answer is A.

Hope this helps.

r3t40

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erinna erinna · Answer 2 · 2019-09-19T09:26:26+02:00

Answer:

The correct option is A.

Explanation:

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

[tex]f(x)=4^x[/tex]

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.

[tex]64=4^x[/tex]

It can be rewritten as

[tex]4^3=4^x[/tex]

On comparing both sides by get

[tex]3=x[/tex]

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.