Question

Sheila is a wildlife biologist. Her daily task is to count the number of wild turkeys and white-tail deer in a large game reserve. Sheila counts 121212 wild turkeys by the first hour after sunrise, and the cumulative number of turkeys she has counted increases by approximately 40\%40%40, percent each hour. Sheila counts 181818 white-tail deer by the first hour after sunrise, and she counts 101010 deer each hour after that. In which hour after sunrise will Sheila's cumulative count of the turkeys first exceed the cumulative count of the deer?

Answer 1

Given:
wild turkey ; 12 in the first hour and cumulative number increases by 40% per hour
white-tail deer ; 18 in the first hour and 10 deer each hour after that.

wild turkery: 12 * (1.40)^n-1 ; n is the number of hour
white-tail deer: 18 + 10^n-1 ; n is the number of hour

n     wild turkey     white-tail deer
1          12                 18
2          17                 28
3          24                 38
4          33                 48
5          46                 58
6          65                 68
7          90                 78

It would be hour 7 after sunrise that the cumulative count of the turkeys first exceed the cumulative count of the deer.