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In order to bring his business to the next level, Christov wants to gain at least 2,000 followers on a popular social media platform. From his own personal account, he knows that each original post gains him approximately 3 new followers and every 5 reposts gains about 1 . Which of the following inequalities represents the numbers of posts, P, and reposts, R, Christov needs to reach his goal of gaining at least 2,000 followers? Choose 1 answer: (A) 3P+0.2 R >= 2,000 (B) 3P+5R <= 2,000 (c) 1P+5R >= 2,000 (D) 0.2 P+5R <= 2,000

In order to bring his business to the next level, Christov wants to gain at least 22,000000 followers on a popular social media platform. From his own personal account, he knows that each original post gains him approximately 33 new followers and every 55 reposts gains about 11 . Which of the following inequalities represents the numbers of posts, P P , and reposts, R R , Christov needs to reach his goal of gaining at least 22,000000 followers?\newlineChoose 11 answer:\newline(A) 3P+0.2R≥2,000 3 P+0.2 R \geq 2,000 \newline(B) 3P+5R≤2,000 3 P+5 R \leq 2,000 \newline(C) 1P+5R≥2,000 1 P+5 R \geq 2,000 \newline(D) 0.2P+5R≤2,000 0.2 P+5 R \leq 2,000

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Q. In order to bring his business to the next level, Christov wants to gain at least 22,000000 followers on a popular social media platform. From his own personal account, he knows that each original post gains him approximately 33 new followers and every 55 reposts gains about 11 . Which of the following inequalities represents the numbers of posts, P P , and reposts, R R , Christov needs to reach his goal of gaining at least 22,000000 followers?\newlineChoose 11 answer:\newline(A) 3P+0.2R≥2,000 3 P+0.2 R \geq 2,000 \newline(B) 3P+5R≤2,000 3 P+5 R \leq 2,000 \newline(C) 1P+5R≥2,000 1 P+5 R \geq 2,000 \newline(D) 0.2P+5R≤2,000 0.2 P+5 R \leq 2,000
  1. Define Variables: Define the variables based on the information given. Christov gains approximately 33 new followers for each original post, which we represent with the variable PP. He gains approximately 11 new follower for every 55 reposts, which we represent with the variable RR.
  2. Translate Information: Translate the information into an inequality. Since each original post gains 33 followers, the contribution to the follower count from posts is 3P3P. Since every 55 reposts gain 11 follower, the contribution to the follower count from reposts is R/5R/5, which can also be written as 0.2R0.2R.
  3. Combine Contributions: Combine the contributions from posts and reposts to form an inequality that represents the total number of followers gained. Since Christov wants to gain at least 2,0002,000 followers, the inequality should reflect that the sum of followers from posts and reposts is greater than or equal to 2,0002,000. Therefore, the inequality is 3P+0.2R≥2,0003P + 0.2R \geq 2,000.
  4. Match with Choices: Match the derived inequality with the given choices. The correct inequality that represents the situation is 3P+0.2R≥2,0003P + 0.2R \geq 2,000, which corresponds to choice (A).

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