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Sarah and Randy are both trying to build their YouTube followers each month. Sarah currently has 300 and Randy has 325. If Sarah's gaining 40 followers each month and Randy is gaining 25 followers each month, which statement below is true?

Randy will always have more followers than Sarah

Sarah will have 350 followers after the first month

Sarah can never have more followers than Randy.

After 2 months Sarah will have more followers than Randy

1 answer

To analyze the situation, let's calculate the number of followers both Sarah and Randy will have after each month:

  • Current Followers:

    • Sarah: 300
    • Randy: 325

  • Monthly Gain:

    • Sarah: +40 followers/month
    • Randy: +25 followers/month

After 1 Month:

  • Sarah: 300 + 40 = 340
  • Randy: 325 + 25 = 350

After 2 Months:

  • Sarah: 340 + 40 = 380
  • Randy: 350 + 25 = 375

Now we evaluate each statement:

  1. Randy will always have more followers than Sarah.

    • This is false. After 2 months, Sarah has 380 followers and Randy has 375. Therefore, Sarah can surpass Randy's follower count.

  2. Sarah will have 350 followers after the first month.

    • This is false. Sarah will have 340 followers after the first month.

  3. Sarah can never have more followers than Randy.

    • This is false since we already determined that after 2 months, Sarah will have 380 followers, which is greater than Randy's 375.

  4. After 2 months Sarah will have more followers than Randy.

    • This is true. After 2 months, Sarah will have 380 followers while Randy will have 375 followers.

Thus, the true statement is: After 2 months Sarah will have more followers than Randy.