In March, Delphine's house had $40 \%$ more snowfall than in February. Delphine's house had $f$ centimeters of snowfall in February. $\newline$ Which of the following expressions could represent how much snowfall Delphine had at her house in March? $\newline$ Choose $2$ answers: $\newline$ A $40 f$ $\newline$ B $40+f$ $\newline$ C $1.4 f$ $\newline$ D $40 f+f$ $\newline$ E $\frac{4}{10} f+f$

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Q. In March, Delphine's house had

40 \%

more snowfall than in February. Delphine's house had

f

centimeters of snowfall in February.

\newline

Which of the following expressions could represent how much snowfall Delphine had at her house in March?

\newline

Choose

2

answers:

\newline

40 f

\newline

40+f

\newline

1.4 f

\newline

40 f+f

\newline

\frac{4}{10} f+f

Understand Percentage Increase: Understand the percentage increase. $\newline$ Delphine's house had $40\%$ more snowfall in March than in February. This means that the snowfall in March is the snowfall in February plus an additional $40\%$ of the snowfall in February. To calculate this, we can use the expression $(1 + \text{percentage increase}) \times \text{the original amount}.$
Convert to Decimal: Convert the percentage increase to a decimal. $\newline$ $40\%$ as a decimal is $0.40$ . Therefore, the expression to calculate the snowfall in March would be $(1 + 0.40)$ times the snowfall in February.
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 $(1 + 0.40)f$ , which simplifies to $1.4f$ .
Check Answer Choices: Check the answer choices. $\newline$ We need to find which of the given options correctly represents the expression $1.4f$ . The correct choices would be those that mathematically equate to $1.4$ times the snowfall in February ( $f$ ).
Evaluate Choices: Evaluate the answer choices. $\newline$ A) $40f$ is incorrect because it represents $40$ times the snowfall in February, not $40\%$ more. $\newline$ B) $40+f$ is incorrect because it represents the original snowfall plus $40$ centimeters, not $40\%$ more. $\newline$ C) $1.4f$ is correct because it represents the original snowfall plus $40\%$ more. $\newline$ D) $40f+f$ is incorrect because it represents $41$ times the snowfall in February. $\newline$ E) $40$ $0$ simplifies to $40$ $1$ , which is $1.4f$ , so this is also correct.