Question

The table below represents an exponential function. what is the missing value?

Answer 1

The missing value is 128

Explanation:

we know that

The equation of the exponential function is of the form

`f(x)=a(b^(x))`

where

a is the initial value (value of the function when the value of x is equal to zero)

b is the base

r is the rate

b=(1+r)

In this problem , looking at the table, we have that the number of bacteria is doubled every second

so

`r=100\%=100/100=1\\b=1+r=1+1=2\\a=8`

substitute in the formula

`f(x)=8(2^(x))`

where

f(x) is the number of bacteria

x is the time in seconds

For x=4 sec

substitute

`f(4)=8(2^(4))`

`f(4)=128\ bacteria`