1. a super-deadly strain of bacteria is causing the zombie population to double every two days. currently, there are 25 zombies. after how many days will there be 25600 zombies?

2. use the function from the previous question. if the current population is 5,000,000,000 people, after how many days will there be no humans left?

After 20 days there will be 25600 zombies.

Step-by-step explanation:

Given :

A super-deadly strain of bacteria is causing the zombie population to double every two days. currently, there are 25 zombies.

To Find: After how many days will there be 25600 zombies?

Solution :

1 . The given situation will have the exponential function .

Exponential formula :

a = initial amount

b is the growth or decay rate

x = number of time intervals that have passed

So, in the given situation

Since initially there are 25 zombies .

So, a = 25

Since we are given that  zombie population to double every two days.

So,b = 2

x = x/2

y = 25600

Substituting the values in the formula :

On comparing L.H.S with R.H.S

⇒

Thus after 20 days there will be 25600 zombies.

2. Now the current population is 5,000,000,000.i.e. a = 5,000,000,000

So, to find after how many days will there be no humans left(y=0)

So, using formula

Since log 0 is not defines hence not possible.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

-232

step-by-step explanation: