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Create a model to determine the amount of prize money

1/5/2021

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A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins 50 less than the previous place. Create a model that can be used to determine the total amount of prize money based on the value of the first place.

The first place is awarded the most, and each place after that wins 50 less than the previous place.

x = amount of money for first place
x - 50 = amount of money to second place
x - 100 = amount of money to third place
x - 150 = amount of money to fourth place
x - 200 = amount of money to fifth place

Total money given out would be:
x + x - 50 + x - 100 + x - 150 + x - 200 {added the amounts together}
Total =  5x - 500  {simplified}

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