SOLUTION: The number of tribbles on the Starship Enterprise are tripling every hour. Initially, five tribbles were brought on board. Write an equation to model this scenario. Define the va

Algebra ->  Test -> SOLUTION: The number of tribbles on the Starship Enterprise are tripling every hour. Initially, five tribbles were brought on board. Write an equation to model this scenario. Define the va      Log On


   



Question 1192445: The number of tribbles on the Starship Enterprise are tripling every hour. Initially, five tribbles were brought on board.
Write an equation to model this scenario. Define the variables being used?
At the given rate, how many tribbles will be on the ship after 8 hours?
How many more tribbles would there be 16 hours later?

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

N(0) = 5 <--- starting time, 5 tribbles
N(1) = 5*3 <--- after 1hr, they triple to 5*3 = 15
N(2) = 5*3*3 <---- at 2hr mark, they've tripled again (5*3)*3 = 45
:
N(k) = 5%2A3%5Ek+ <--- after k hours, there will be this many tribbles

After 8hrs: N(8) = 5%2A3%5E8+ = +5%2A6561+ = +highlight%2832805%29+