The exponential function that models cell duplication in a lab is f(t) = 2^ t+2 where f(t) is the number of cells after time t (in hours). after how many hours has the number of cells increased to 10,000?

ANSWER



EXPLANATION

The exponential function that models cell duplication in the lab is given as



We want to determine the time it will take for the cells to increase to


In other words, we want to find the value of

when


This gives us the equation,



Recall that,



We apply this property to the right hand side to obtain,



This implies that,



We divide both sides by 4 to get,



We take the antilogarithm of both sides to base 10 to get,



This implies that,


to the nearest hundredth.

For range i think it’s area

Ithink it is15not sure tho