2. 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?
Answer: D
The cost of a plain bagel increased by 20% from last year to this year.
To determine the percentage increase in the cost of a plain bagel, we compare the difference in price to the original price. The increase from $0.75 to $0.90 represents a $0.15 increase, which is 20% of the original price.
A) 10%
This option is incorrect because a 10% increase on $0.75 would result in an increase of only $0.075, leading to a new price of $0.825, which does not match the current price of $0.90.
B) 15%
This option is also incorrect as a 15% increase on $0.75 would lead to an increase of $0.1125, resulting in a total price of $0.8625, which is not equal to the current price of $0.90.
C) 17%
Choosing 17% is incorrect since a 17% increase on $0.75 amounts to approximately $0.1275, bringing the total price to about $0.8775, which again does not match the current price of $0.90.
D) 20%
This option is correct as it accurately reflects the calculation of the percentage increase. The increase of $0.15 from the original price of $0.75 is indeed 20% of the original price, resulting in the new price of $0.90.
Conclusion
The correct answer is 20% because it accurately represents the calculation of the increase in price relative to the original cost. All other options fail to reflect the true percentage increase based on the provided prices. Thus, D is the only valid answer based on the given data.