Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has
\[20\%\] more dishes than the previous menu. The previous menu had
\[D\] dishes.
Which of the following expressions could represent how many dishes Crispy Clover's new menu has?
Choose 2 answers:
Choose 2 answers:
(Choice A)
\[D+\dfrac{1}{5}D\]
A
\[D+\dfrac{1}{5}D\]
(Choice B)
\[1.2D\]
B
\[1.2D\]
(Choice C)
\[D+20\]
C
\[D+20\]
(Choice D)
\[20D\]
D
\[20D\]
(Choice E)
\[D+20D\]
E
\[D+20D\]
I apologize for the mistake in my previous response. Let's reassess the options:
The correct answer choices are (Choice A) \[D+\dfrac{1}{5}D\] and (Choice B) \[1.2D\].
Choice A represents adding the original number of dishes (D) to 20% of the original number of dishes (\[\dfrac{1}{5}D\]), which gives the total number of dishes in the new menu.
Choice B represents multiplying the original number of dishes (D) by 1.2, which is equivalent to adding 20% of the original number of dishes to the original number of dishes.
Therefore, both choices A and B accurately represent the number of dishes in Crispy Clover's new menu.
The correct answer choices are (Choice B) \[1.2D\] and (Choice C) \[D+20\].
The first answer choice \[D+\dfrac{1}{5}D\] is incorrect because it adds an extra \[\dfrac{1}{5}D\] to the original number of dishes, which is not equal to a 20% increase.
The fourth answer choice \[20D\] is incorrect because it multiplies the original number of dishes by 20, which would result in a much larger increase than 20%.
The fifth answer choice \[D+20D\] is also incorrect because it adds the original number of dishes to 20 times the original number of dishes, which would again result in a much larger increase than 20%.
wrong
To determine which expressions could represent the number of dishes on Crispy Clover's new menu, let's analyze the given information.
We know that the new menu has 20% more dishes than the previous menu, which had D dishes. To find out how many additional dishes were added, we can calculate 20% of D.
20% of D is calculated as:
\[20\% \times D = \dfrac{20}{100} \times D = \dfrac{1}{5} \times D\]
Expression (A) suggests adding 20% of D to the original number of dishes:
\[D + \dfrac{1}{5}D\]
This means that the new menu has the original number of dishes (D) plus an additional 20% of the original number of dishes.
Expression (B) states that the new menu has 1.2 times the number of dishes in the original menu:
\[1.2D\]
This means that the new menu has the original number of dishes (D) multiplied by 1.2.
Expression (C) suggests adding 20 to the original number of dishes:
\[D + 20\]
This expression does not account for the fact that the new menu has 20% more dishes, so it does not correctly represent the situation.
Expression (D) states that the new menu has 20 times the number of dishes in the original menu, which is not accurate. Therefore, expression (D) is incorrect:
\[20D\]
Expression (E) suggests adding the original number of dishes (D) and 20 times the number of dishes (20D). This is not correct because it overestimates the increase in the number of dishes on the new menu:
\[D + 20D\]
Based on the above analysis, the two expressions that correctly represent the number of dishes on Crispy Clover's new menu are:
- (Choice A) \[D + \dfrac{1}{5}D\]
- (Choice B) \[1.2D\]
Therefore, the correct answers are A and B.