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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 
0.25m
B 
0.75 m
c 
1.75 m
D 
(1)/(4)m
E 
(3)/(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:\newline(A) 0.25m 0.25 m \newline(B) 0.75m 0.75 m \newline(C) 1.75 m 1.75 \mathrm{~m} \newline(D) 14m \frac{1}{4} m \newline(E) 34m \frac{3}{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:\newline(A) 0.25m 0.25 m \newline(B) 0.75m 0.75 m \newline(C) 1.75 m 1.75 \mathrm{~m} \newline(D) 14m \frac{1}{4} m \newline(E) 34m \frac{3}{4} m
  1. Understand Percentage Reduction: Understand the percentage reduction in Wendy's commute time. Wendy reduced her daily commute time by 75%75\%. This means she now only spends 25%25\% of her original commute time traveling.
  2. Convert to Decimal: Convert the percentage to a decimal to find the factor by which Wendy's commute time is reduced. \newline75%75\% reduction means Wendy is using 100%75%=25%100\% - 75\% = 25\% of her original commute time. \newlineTo convert this percentage to a decimal, we divide by 100100: \newline25100=0.25\frac{25}{100} = 0.25
  3. Apply Decimal Factor: Apply the decimal factor to Wendy's original commute time to find the new commute time.\newlineIf Wendy's original commute time is mm minutes, then her new commute time after learning to fly is 0.25m0.25m.
  4. Identify Correct Expressions: Identify the correct expressions from the given options that represent Wendy's new commute time.\newlineThe expression 0.25m0.25m is equivalent to 14m\frac{1}{4}m, so options A and D are correct. \newlineThe other options do not represent a 75%75\% reduction in time.

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