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In March, Delphine's house had 
40% more snowfall than in February. Delphine's house had 
f centimeters of snowfall in February.
Which of the following expressions could represent how much snowfall Delphine had at her house in March?
Choose 2 answers:
A 
40 f
B 
40+f
C 
1.4 f
D 
40 f+f
ㅌ 
(4)/(10)f+f

In March, Delphine's house had 40% 40 \% more snowfall than in February. Delphine's house had f f centimeters of snowfall in February.\newlineWhich of the following expressions could represent how much snowfall Delphine had at her house in March?\newlineChoose 22 answers:\newlineA 40f 40 f \newlineB 40+f 40+f \newlineC 1.4f 1.4 f \newlineD 40f+f 40 f+f \newlineE 410f+f \frac{4}{10} f+f

Full solution

Q. In March, Delphine's house had 40% 40 \% more snowfall than in February. Delphine's house had f f centimeters of snowfall in February.\newlineWhich of the following expressions could represent how much snowfall Delphine had at her house in March?\newlineChoose 22 answers:\newlineA 40f 40 f \newlineB 40+f 40+f \newlineC 1.4f 1.4 f \newlineD 40f+f 40 f+f \newlineE 410f+f \frac{4}{10} f+f
  1. Understand Percentage Increase: Understand the percentage increase.\newlineDelphine's house had 40%40\% more snowfall in March than in February. This means that the snowfall in March is the snowfall in February plus an additional 40%40\% of the snowfall in February. To calculate this, we can use the expression (1+percentage increase)×the original amount.(1 + \text{percentage increase}) \times \text{the original amount}.
  2. Convert to Decimal: Convert the percentage increase to a decimal.\newline40%40\% as a decimal is 0.400.40. Therefore, the expression to calculate the snowfall in March would be (1+0.40)(1 + 0.40) times the snowfall in February.
  3. Create March's Expression: Create the expression for March's snowfall. Using the decimal form of the percentage increase, the expression for the snowfall in March is (1+0.40)f(1 + 0.40)f, which simplifies to 1.4f1.4f.
  4. Check Answer Choices: Check the answer choices.\newlineWe need to find which of the given options correctly represents the expression 1.4f1.4f. The correct choices would be those that mathematically equate to 1.41.4 times the snowfall in February (ff).
  5. Evaluate Choices: Evaluate the answer choices.\newlineA) 40f40f is incorrect because it represents 4040 times the snowfall in February, not 40%40\% more.\newlineB) 40+f40+f is incorrect because it represents the original snowfall plus 4040 centimeters, not 40%40\% more.\newlineC) 1.4f1.4f is correct because it represents the original snowfall plus 40%40\% more.\newlineD) 40f+f40f+f is incorrect because it represents 4141 times the snowfall in February.\newlineE) 404000 simplifies to 404011, which is 1.4f1.4f, so this is also correct.

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