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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?

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?

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Interpret confidence intervals for population means

Full solution

Q. 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?

Identify Gain Per Post: Identify the follower gain per post and repost. Each original post gains $3$ followers, and every $5$ reposts gain $1$ follower.
Set Up Total Followers Inequality: Set up the inequality to represent the total followers gained from $P$ posts and $R$ reposts. $\newline$ Followers from posts = $3P$ $\newline$ Followers from reposts = $\frac{R}{5}$ $\newline$ Total followers = $3P + \frac{R}{5}$ $\newline$ Christov needs at least $2,000$ followers, so: $\newline$ $3P + \frac{R}{5} \geq 2,000$
Check Correct Inequality: Check if the inequality is set up correctly and represents the problem statement. $\newline$ The inequality $3P + \frac{R}{5} \geq 2,000$ correctly shows that the total followers from $P$ posts and $R$ reposts should be at least $2,000$ .

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