At the Crest Coffee Shop, the cost of a plain bagel was $0.75 last year. This year the cost of a plain bagel is $0.90. By what percent did the cost of a plain bagel increase from last year to this year?
The cost of a plain bagel at the Crest Coffee Shop increased by 20% from last year to this year.
To calculate the percentage increase, subtract the old price from the new price, and then divide that amount by the old price. In this case, $0.90 - $0.75 = $0.15 (the amount of the increase), and $0.15 ÷ $0.75 = 0.20, or 20%.
A 10% increase on the original price of $0.75 would have resulted in a new price of $0.825. This is less than the actual new price of $0.90.
A 15% increase on the original price of $0.75 would have resulted in a new price of $0.8625. This is less than the actual new price of $0.90.
A 17% increase on the original price of $0.75 would have resulted in a new price of $0.8775. This is less than the actual new price of $0.90.
A 20% increase on the original price of $0.75 results in a new price of $0.90. This is exactly the actual new price, which confirms that the percentage increase is indeed 20%.
By subtracting the old price from the new price, dividing the result by the old price, and multiplying by 100 to convert to a percentage, we can confirm that the price of a plain bagel at the Crest Coffee Shop increased by 20% from last year to this year. All other options (10%, 15%, 17%) result in new prices that are less than the actual new price of $0.90.
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