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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 1.7m

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 mm minutes.\newline Which of the following expressions could represent the average wait time at the hospital after the outbreak?\newline Choose 22 answers:\newline A 0.7m0.7m\newline B 170100m\frac{170}{100}m\newline C m+70m+70\newline D m+0.7m+0.7\newline E 1.7m1.7m

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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 mm minutes.\newline Which of the following expressions could represent the average wait time at the hospital after the outbreak?\newline Choose 22 answers:\newline A 0.7m0.7m\newline B 170100m\frac{170}{100}m\newline C m+70m+70\newline D m+0.7m+0.7\newline E 1.7m1.7m
  1. Understand 7070% Increase: First, we need to understand that a 7070% increase means the new wait time is 100%100\% of the original time plus an additional 70%70\% of that original time. This can be expressed as 100%+70%=170%100\% + 70\% = 170\% of the original time.
  2. Convert to Decimal/Fraction: To convert the percentage to a decimal or fraction that can be used in an expression, we remember that 100%100\% is equivalent to 11 in decimal form. Therefore, 170%170\% is equivalent to 1.71.7 or 170100\frac{170}{100} when expressed as a decimal or fraction, respectively.
  3. Write Expressions for New Time: Now, we can write the expressions for the new average wait time. Since the original wait time is mm minutes, the new wait time after a 70%70\% increase would be 1.71.7 times mm, which can be written as 1.7m1.7m. Alternatively, using the fraction form, it would be (170/100)m(170/100)m.
  4. Evaluate Answer Choices: We can now evaluate the answer choices given:\newlineA) 0.7m0.7m represents only the 70%70\% increase, not the total time after the increase.\newlineB) (170/100)m(170/100)m correctly represents the total time after the increase.\newlineC) m+70m+70 incorrectly adds 7070 minutes to the original time, regardless of what mm is.\newlineD) m+0.7m+0.7 incorrectly adds 0.70.7 minutes to the original time.\newlineE) 1.7m1.7m correctly represents the total time after the increase.

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