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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
E 
(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:\newline(A) 40f 40 f \newline(B) 40+f 40+f \newline(C) 1.4f 1.4 f \newline(D) 40f+f 40 f+f \newline(E) 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:\newline(A) 40f 40 f \newline(B) 40+f 40+f \newline(C) 1.4f 1.4 f \newline(D) 40f+f 40 f+f \newline(E) 410f+f \frac{4}{10} f+f
  1. Understand the 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 original amount of snowfall in February plus an additional 40%40\% of that amount.
  2. Convert to decimal: Convert the percentage to a decimal.\newlineTo calculate the increase, convert the percentage to a decimal by dividing by 100100.\newline40%=40100=0.440\% = \frac{40}{100} = 0.4
  3. Calculate March snowfall: Calculate the total snowfall for March.\newlineThe total snowfall in March is the snowfall in February ff plus 40%40\% of the snowfall in February 0.4f0.4f.\newlineTotal snowfall in March = f+0.4ff + 0.4f
  4. Simplify expression: Simplify the expression for total snowfall in March.\newlineCombine like terms ff and 0.4f0.4f to get the expression for March's snowfall.\newlineTotal snowfall in March = 1f+0.4f=1.4f1f + 0.4f = 1.4f
  5. Check answer choices: Check the answer choices.\newlineWe need to find which of the given choices represent the expression 1.4f1.4f.\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 snowfall in February plus an additional 4040 centimeters, not 40%40\%.\newlineC) 1.4f1.4f is correct because it represents the original amount plus 40%40\% more.\newlineD) 40f+f40f+f is incorrect because it represents snowfall in February plus 4040 times the snowfall in February.\newlineE) 410f+f \frac{4}{10} f+f is correct because it represents the original amount plus 40%40\% more.