Question

Question #01370

Answer 1

See explanation.

Explanation:

To calculate the inverse function you have to find `x` in terms of `y` from the function formula:

`y=7e^(2x)`

`y/7=e^(2x)`

Now we have `x` in the exponent, so to find `x` we have to logarithm both sides:

`ln(y/7)=2x`

`x=ln(y/7)/2`

Now we can reverse the variables:

The inverse function is: `y=(ln(x/2))/2`

Now to find the time to wait we have to substitute the given number of cells to the calculated formula:

`y=ln(9*10^5)/2~~13.71/2~~6.86`

Answer: There will be `1.8` million cells after `t~~6.86` hours.