Question

1) The number of mice (in millions) is modeled by the function below, where t is measured in years. How many mice are in the culture after 10 year? (round to the nearest whole tenth) n(t) = 12e = 12e^0.012

Answer 1

The number of mice (in millions) is modeled by the function

$n(t)=12e^{0.012t}$

Since t is measured in years, to find how many mice are in the culture after 10 years we just need to substitute t for 10 in te previous function, obtaining:

$n(10)=12e^{0.012(10)}=12e^{0.12}=13.52996222\approx14$

Then aproximating the answer will be 14 that means that there will be 14 millions of mices after 10 years.