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After learning how to fly, Wendy reduced her daily commute time by 
75%. Previously, her commute took 
m minutes.
Which of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly?
Choose 2 answers:
A 
0.75 m
B 
(3)/(4)m
C 
1.75 m
D 
0.25 m
E 
(1)/(4)m

After learning how to fly, Wendy reduced her daily commute time by 75% 75 \% . Previously, her commute took m m minutes.\newlineWhich of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly?\newlineChoose 22 answers:\newlineA 0.75m 0.75 m \newlineB 34m \frac{3}{4} m \newlineC 1.75m 1.75 m \newlineD 0.25m 0.25 m \newlineE 14m \frac{1}{4} m

Full solution

Q. After learning how to fly, Wendy reduced her daily commute time by 75% 75 \% . Previously, her commute took m m minutes.\newlineWhich of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly?\newlineChoose 22 answers:\newlineA 0.75m 0.75 m \newlineB 34m \frac{3}{4} m \newlineC 1.75m 1.75 m \newlineD 0.25m 0.25 m \newlineE 14m \frac{1}{4} m
  1. Understand percentage reduction: Understand the percentage reduction.\newlineWendy reduced her daily commute time by 75%75\%. This means she now only spends 25%25\% of her original commute time, because 100%75%=25%100\% - 75\% = 25\%.
  2. Convert percentage to decimal: Convert the percentage to a decimal.\newlineTo find the equivalent decimal for 25%25\%, divide 2525 by 100100, which gives 0.250.25.
  3. Apply decimal to commute time: Apply the decimal to Wendy's original commute time.\newlineIf Wendy's original commute time is mm minutes, then her new commute time after the reduction is 0.25×m0.25 \times m.
  4. Convert percentage to fraction: Convert the percentage to a fraction.\newlineAnother way to express 25%25\% as a fraction is 25100\frac{25}{100}, which simplifies to 14\frac{1}{4}.
  5. Apply fraction to commute time: Apply the fraction to Wendy's original commute time. Wendy's new commute time can also be represented as (14)m(\frac{1}{4})m.
  6. Identify correct answer choices: Identify the correct answer choices.\newlineFrom the given options, 0.25m0.25\,\text{m} (Option D) and (1/4)m(1/4)\text{m} (Option E) both represent 25%25\% of Wendy's original commute time, which is the correct reduction.

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