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 (D) 0.2 P+5R

Question

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

Bytelearn · Accepted Answer

Define Variables: Define the variables based on the information given. Christov gains approximately 3 new followers for each original post, which we represent with the variable P. He gains approximately 1 new follower for every 5 reposts, which we represent with the variable R. Translate into Inequality: Translate the information into an inequality. Since each original post gains 3 followers, the contribution to the follower count from posts is 3P. For reposts, since every 5 reposts gain 1 follower, the contribution from reposts is R/5. However, to make the equation more straightforward, we can multiply the entire inequality by 5 to avoid fractions, turning R/5 into R and multiplying the other terms by 5 as well. Set Minimum Follower Goal: Since Christov wants to gain at least 2,000 followers, the inequality must reflect that the sum of followers from posts and reposts should be greater than or equal to 2,000. The inequality becomes 3P + R/5 >= 2,000. Multiplying the entire inequality by 5 to clear the fraction, we get 15P + R >= 10,000. Correct Inequality Mistake: Realize that there was a mistake in the previous step. We do not need to multiply by 5 again since we already accounted for the reposts by stating that every 5 reposts gain 1 follower. The correct inequality should be 3P + R/5 >= 2,000 without any further multiplication.

Full solution

More problems from Write two-variable inequalities: word problems

Related topics