SOLUTION: please help me solve this: theresa has 16kg of dog food. each day she feeds her dogs 2/3 kg of dog food. write an equation to show the amount of dog food theresa has after x days.

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Question 1020583: please help me solve this: theresa has 16kg of dog food. each day she feeds her dogs 2/3 kg of dog food. write an equation to show the amount of dog food theresa has after x days.
Found 2 solutions by robertb, MathTherapy:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # of days passed.
At x = 0, the amount remaining is 16 kg.
At x = 1, the amount remaining is 16+-+%282%2F3%2916+=+16%2A%281%2F3%29 kg
At x = 2, the amount remaining is 16%2A%281%2F3%29+-+%282%2F3%2916%2A%281%2F3%29+=+16%2A%281%2F3%29%5E2 kg
At x = 3, the amount remaining is 16%2A%281%2F3%29%5E2+-+%282%2F3%2916%2A%281%2F3%29%5E2+=+16%2A%281%2F3%29%5E3 kg
By induction it follows that
A%28x%29+=+16%2F3%5Ex
if we let A(X) be the amount of dog food remaining after x days.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve this: theresa has 16kg of dog food. each day she feeds her dogs 2/3 kg of dog food. write an equation to show the amount of dog food theresa has after x days.
highlight_green%28R%28d%29+=+-+x%282%2F3%29+%2B+16%29, with R being the remainder after d days