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After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70%. Before the outbreak, the average wait time at the hospital was m minutes. Which of the following expressions could represent the average wait time at the hospital after the outbreak? Choose 2 answers: A 0.7m B (170)/(100)m c. m+70 D m+0.7 E 1.7 m

After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70% 70 \% . Before the outbreak, the average wait time at the hospital was m m minutes.\newlineWhich of the following expressions could represent the average wait time at the hospital after the outbreak?\newlineChoose 22 answers:\newline(A) 0.7 m 0.7 \mathrm{~m} \newline(B) 170100m \frac{170}{100} m \newline(C) m+70 m+70 \newline(D) m+0.7 m+0.7 \newline(E) 1.7 m 1.7 \mathrm{~m}

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Q. After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70% 70 \% . Before the outbreak, the average wait time at the hospital was m m minutes.\newlineWhich of the following expressions could represent the average wait time at the hospital after the outbreak?\newlineChoose 22 answers:\newline(A) 0.7 m 0.7 \mathrm{~m} \newline(B) 170100m \frac{170}{100} m \newline(C) m+70 m+70 \newline(D) m+0.7 m+0.7 \newline(E) 1.7 m 1.7 \mathrm{~m}
  1. Understand the percentage increase: Understand the percentage increase.\newlineA 70%70\% increase from the original amount means the new amount is 100%100\% of the original plus an additional 70%70\% of the original. This can be represented as 100%+70%=170%100\% + 70\% = 170\% of the original amount.
  2. Convert to decimal: Convert the percentage to a decimal.\newlineTo work with the percentage easily in an equation, convert it to a decimal. 170%170\% as a decimal is 1.71.7 (since 170%=170100=1.7170\% = \frac{170}{100} = 1.7).
  3. Apply to original amount: Apply the decimal to the original amount.\newlineTo find the new average wait time after the outbreak, multiply the original wait time mm by 1.71.7. \newlineThis gives us the expression 1.7m1.7m.
  4. Check answer choices: Now we need to check which of the given answer choices match our expression 1.7m1.7m. \newlineWe can immediately see that choice (E) (1.7m1.7m) is correct. \newlineWe also need to check if any other choices are equivalent to 1.7m1.7m.
  5. Evaluate other choices: Evaluate the other answer choices.\newlineChoice (A) 0.7m0.7m represents only the 70%70\% increase, not the total time after the increase. \newlineChoice (B) 170100m\frac{170}{100}m is equivalent to 1.7m1.7m because 170100\frac{170}{100} simplifies to 1.71.7. \newlineChoice (C) m+70m+70 adds 7070 minutes, not 70%70\%, so it is incorrect. \newlineChoice (D) m+0.7m+0.7 adds 0.70.7 minutes, which is also incorrect.
  6. Evaluate other choices: Therefore the correct choices are: \newlineChoice (B) 170100m\frac{170}{100}m \newlineChoice (E) 1.7m1.7m

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