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P(t)=4.87(1.02)^(t) The function models P, the population, in millions, of the city of Melbourne t years after 2019 . Which of the following statements is the best interpretation of the ordered pair (4,5.27) ? Choose 1 answer: (A) The model predicts that the population of Melbourne will increase by 4 percent per year for 5.27 years after 2019 . (B) The model predicts that the population of Melbourne will increase by 5.27 percent per year for 4 years after 2019. (C) The model predicts that the population of Melbourne will be 4 million 5.27 years after 2019 . (D) The model predicts that the population of Melbourne will be 5.27 million 4 years after 2019 .

P(t)=4.87(1.02)t P(t)=4.87(1.02)^{t} \newlineThe function models P P , the population, in millions, of the city of Melbourne t t years after 20192019 . Which of the following statements is the best interpretation of the ordered pair (4,5.27) (4,5.27) ?\newlineChoose 11 answer:\newline(A) The model predicts that the population of Melbourne will increase by 44 percent per year for 55.2727 years after 20192019 .\newline(B) The model predicts that the population of Melbourne will increase by 55.2727 percent per year for 44 years after 20192019.\newline(C) The model predicts that the population of Melbourne will be 44 million 55.2727 years after 20192019 .\newline(D) The model predicts that the population of Melbourne will be 55.2727 million 44 years after 20192019 .

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Q. P(t)=4.87(1.02)t P(t)=4.87(1.02)^{t} \newlineThe function models P P , the population, in millions, of the city of Melbourne t t years after 20192019 . Which of the following statements is the best interpretation of the ordered pair (4,5.27) (4,5.27) ?\newlineChoose 11 answer:\newline(A) The model predicts that the population of Melbourne will increase by 44 percent per year for 55.2727 years after 20192019 .\newline(B) The model predicts that the population of Melbourne will increase by 55.2727 percent per year for 44 years after 20192019.\newline(C) The model predicts that the population of Melbourne will be 44 million 55.2727 years after 20192019 .\newline(D) The model predicts that the population of Melbourne will be 55.2727 million 44 years after 20192019 .
  1. Plug in t=4t=4: Plug in t=4t=4 into the function P(t)=4.87(1.02)tP(t)=4.87(1.02)^t to see if PP equals 5.275.27.\newlineP(4)=4.87(1.02)4P(4)=4.87(1.02)^4
  2. Calculate 11.0202: Calculate 1.021.02 to the power of 44. \newline(1.02)4≈1.08243216(1.02)^4 \approx 1.08243216
  3. Multiply 44.8787: Multiply 4.874.87 by 1.082432161.08243216 to find P(4)P(4).P(4)≈4.87×1.08243216P(4) \approx 4.87 \times 1.08243216
  4. Perform the multiplication: Perform the multiplication to find the value of P(4)P(4).P(4)≈5.2716647P(4) \approx 5.2716647
  5. Compare with ordered pair: Compare the calculated value of P(4)P(4) with the second value in the ordered pair (4,5.27)(4,5.27). The calculated P(4)P(4) is approximately 5.275.27, which matches the ordered pair.
  6. Interpret the ordered pair: Interpret the ordered pair (4,5.27)(4,5.27) based on the function P(t)P(t). The ordered pair (4,5.27)(4,5.27) means that 44 years after 20192019, the population of Melbourne is predicted to be 5.275.27 million.

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