f(x)=5,000(1.012)tThe function models f, the amount of money in Eddie's savings account x years after his initial deposit into the account. Which of the following statements is the best interpretation of the ordered pair (2,5120.72) ?Choose 1 answer:(A) Eddie earned 5,120.72 dollars in interest from his savings account 2 years after his initial deposit.(B) Eddie has 5,120.72 dollars in his savings account 2 years after his initial deposit.(C) Eddie has 5,120.72 dollars in his savings account 2 months after his initial deposit.(D) Eddie has 5,120.72 dollars in his savings account, which yields 2 percent annual interest.
Q. f(x)=5,000(1.012)tThe function models f, the amount of money in Eddie's savings account x years after his initial deposit into the account. Which of the following statements is the best interpretation of the ordered pair (2,5120.72) ?Choose 1 answer:(A) Eddie earned 5,120.72 dollars in interest from his savings account 2 years after his initial deposit.(B) Eddie has 5,120.72 dollars in his savings account 2 years after his initial deposit.(C) Eddie has 5,120.72 dollars in his savings account 2 months after his initial deposit.(D) Eddie has 5,120.72 dollars in his savings account, which yields 2 percent annual interest.
Plug in value of t: Plug in the value of t from the ordered pair into the function to check if it matches the amount given.f(2)=5000(1.012)2
Calculate (1.012)2: Calculate the value of (1.012)2.(1.012)2=1.024144
Multiply by 1.024144: Multiply 5000 by 1.024144 to find the amount in the account after 2 years.5000×1.024144=5120.72
Compare calculated amount: Compare the calculated amount with the amount given in the ordered pair. 5120.72 matches the amount in the ordered pair (2,5120.72).
Interpret ordered pair: Interpret the ordered pair (2,5120.72) based on the function and the calculation.The ordered pair means that Eddie has 5120.72 dollars in his savings account 2 years after his initial deposit.
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