f(x)=2,500(0.66)xThe 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.
Q. f(x)=2,500(0.66)xThe 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.
Plug in x value: Plug in the value of x from the ordered pair (3,719) into the function to check if it gives us 719.f(3)=2,500(0.66)3
Calculate power result: Calculate the value of 0.66 raised to the power of 3. (0.66)3=0.287496
Multiply by 2,500: Multiply the result by 2,500 to find f(3). f(3)=2,500×0.287496
Perform multiplication: Perform the multiplication to find the value of f(3).f(3)=719
Interpret the result: Compare the result with the ordered pair (3,719) to interpret its meaning.Since f(3)=719, the ordered pair means that 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity.
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