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Anton must finish reading a 369page book in the next 7 days. Which of the following inequalities can be used to represent x, the average number of pages he must read each day to finish the book on or ahead of schedule? Choose 1 answer: (A) (x)/(7) >= 369 (B) x+7 >= 369 (c) 7x >= 369 (D) 7x < 369

Anton must finish reading a 369369page book in the next 77 days. Which of the following inequalities can be used to represent x x , the average number of pages he must read each day to finish the book on or ahead of schedule?\newlineChoose 11 answer:\newline(A) x7≥369 \frac{x}{7} \geq 369 \newline(B) x+7≥369 x+7 \geq 369 \newline(C) 7x≥369 7 x \geq 369 \newline(D) 7 x<369

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Q. Anton must finish reading a 369369page book in the next 77 days. Which of the following inequalities can be used to represent x x , the average number of pages he must read each day to finish the book on or ahead of schedule?\newlineChoose 11 answer:\newline(A) x7≥369 \frac{x}{7} \geq 369 \newline(B) x+7≥369 x+7 \geq 369 \newline(C) 7x≥369 7 x \geq 369 \newline(D) 7x<369 7 x<369
  1. Calculate average number of pages: To determine the average number of pages Anton must read each day, we need to divide the total number of pages by the number of days he has to read the book. The total number of pages is 369369, and the number of days is 77. So, we calculate the average by dividing 369369 by 77.
  2. Adjust for whole number of pages: The calculation gives us 369/7=52.71369 / 7 = 52.71. This means that if Anton reads 52.7152.71 pages per day, he will finish the book in exactly 77 days. However, since he cannot read a fraction of a page, he needs to read at least 5353 pages per day to finish on time.
  3. Formulate inequality: Since Anton must read at least 5353 pages per day to finish the book in 77 days, the inequality must reflect that the number of pages read per day (xx) times the number of days (77) must be greater than or equal to the total number of pages (369369). This is represented by the inequality 7x≥3697x \geq 369.
  4. Check answer choices: Now, we need to check the answer choices to see which one correctly represents the inequality we have found. Choice (A) is incorrect because it suggests dividing xx by 77, which does not match our requirement. Choice (B) is incorrect because it suggests adding 77 to xx, which does not represent the daily average needed. Choice (C) correctly represents the inequality 7x≥3697x \geq 369. Choice (D) is incorrect because it suggests that reading 7x7x pages should be less than 369369, which would not allow Anton to finish the book in time.

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