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TAS Mathematics QUESTION #5471
Question 1
$f(x) = 206(1.034)^x$ models the value, in dollars, of a bank account $x$ years after 1957. Which best interprets "$f(5) \approx 243$"?
  • The value in 1962 is $\$5$ more than in 1957.
  • The value in 1962 is approximately $\$243$.✔️
  • The value in 1962 is approximately $5$ times the 1957 value.
  • The value increases by approximately $\$243$ every $5$ years.
Correct Answer Explanation
$x = 5$ corresponds to the year $1957 + 5 = 1962$. $f(5) \approx 243$ means the account value is about $\$243$ in that year.