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f(x)=2,500(0.66)^(x)
The equation models 
f, the number of new social media posts associated with a trending hashtag 
x days after its peak popularity. Which of the following statements is the best interpretation of the ordered pair 
(3,719) ?
Choose 1 answer:
(A) The trending hashtag maintains 719 new social media posts per day for 3 days.
(B) The number of new social media posts associated with the trending hashtag increases by 719 per day for 3 days.
(C) 3 new social media posts associated with the trending hashtag are made 719 days after the hashtag's peak popularity.
(D) 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity.

f(x)=2,500(0.66)x f(x)=2,500(0.66)^{x} \newlineThe equation models f f , the number of new social media posts associated with a trending hashtag x x days after its peak popularity. Which of the following statements is the best interpretation of the ordered pair (3,719) (3,719) ?\newlineChoose 11 answer:\newline(A) The trending hashtag maintains 719719 new social media posts per day for 33 days.\newline(B) The number of new social media posts associated with the trending hashtag increases by 719719 per day for 33 days.\newline(C) 33 new social media posts associated with the trending hashtag are made 719719 days after the hashtag's peak popularity.\newline(D) 719719 new social media posts associated with the trending hashtag are made 33 days after the hashtag's peak popularity.

Full solution

Q. f(x)=2,500(0.66)x f(x)=2,500(0.66)^{x} \newlineThe equation models f f , the number of new social media posts associated with a trending hashtag x x days after its peak popularity. Which of the following statements is the best interpretation of the ordered pair (3,719) (3,719) ?\newlineChoose 11 answer:\newline(A) The trending hashtag maintains 719719 new social media posts per day for 33 days.\newline(B) The number of new social media posts associated with the trending hashtag increases by 719719 per day for 33 days.\newline(C) 33 new social media posts associated with the trending hashtag are made 719719 days after the hashtag's peak popularity.\newline(D) 719719 new social media posts associated with the trending hashtag are made 33 days after the hashtag's peak popularity.
  1. Plug in x value: Plug in the value of xx from the ordered pair (3,719)(3,719) into the function to check if it gives us 719719.\newlinef(3)=2,500(0.66)3f(3) = 2,500(0.66)^3
  2. Calculate power result: Calculate the value of 0.660.66 raised to the power of 33. \newline(0.66)3=0.287496(0.66)^3 = 0.287496
  3. Multiply by 22,500500: Multiply the result by 2,5002,500 to find f(3)f(3). \newlinef(3)=2,500×0.287496f(3) = 2,500 \times 0.287496
  4. Perform multiplication: Perform the multiplication to find the value of f(3)f(3).f(3)=719f(3) = 719
  5. Interpret the result: Compare the result with the ordered pair (3,719)(3,719) to interpret its meaning.\newlineSince f(3)=719f(3) = 719, the ordered pair means that 719719 new social media posts associated with the trending hashtag are made 33 days after the hashtag's peak popularity.

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