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:
Choose 2 answers:
(Choice A)
\[0.25m\]
A
\[0.25m\]
(Choice B)
\[\dfrac{1}{4}m\]
B
\[\dfrac{1}{4}m\]
(Choice C)
\[1.75m\]
C
\[1.75m\]
(Choice D)
\[0.75m\]
D
\[0.75m\]
(Choice E)
\[\dfrac{3}{4}m\]
E
\[\dfrac{3}{4}m\]
Both answer choices A and B represent Wendy's commute time after learning how to fly: $\boxed{\textbf{(A)}\ 0.25m}$ and $\boxed{\textbf{(B)}\ \frac{1}{4}m}$.
We can write "reduced by 75%" as multiplying by $1-0.75 = 0.25$. Thus, her commute time is given by $0.25m$. The answer is $\boxed{\textbf{(A)}\ 0.25m}$ or $\boxed{\textbf{(B)}\ \frac{1}{4}m}$.
which one?
To find Wendy's commute time after learning how to fly, we need to find 75% of her original commute time, which is represented by the variable m.
To find 75% of a number, we multiply the number by 0.75 or divide it by 4 and then multiply by 3.
So, the expressions that represent Wendy's commute time after learning how to fly are:
(Choice A) 0.25m - This is equivalent to 25% of m, not 75%. This expression is incorrect.
(Choice B) \(\dfrac{1}{4}m\) - This expression represents 25% of m, not 75%. This is incorrect.
(Choice C) 1.75m - This expression represents 175% of m, not 75%. This is incorrect.
(Choice D) 0.75m - This expression represents 75% of m, which is the correct answer.
(Choice E) \(\dfrac{3}{4}m\) - This expression represents 75% of m, which is the correct answer.
So, the correct expressions are (Choice D) and (Choice E).