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Each year, Brooke goes in for an annual physical. As part of the physical, the doctor measures Brooke's height. The function f(x)f(x) gives Brooke's height in feet when she is xx years old.\newlineWhat does f(5)>f(4)f(5) > f(4) tell you?\newlineChoices:\newline(A) Between two annual physicals, Brooke grew 11 foot.\newline(B) Between two annual physicals, Brooke grew taller.

Full solution

Q. Each year, Brooke goes in for an annual physical. As part of the physical, the doctor measures Brooke's height. The function f(x)f(x) gives Brooke's height in feet when she is xx years old.\newlineWhat does f(5)>f(4)f(5) > f(4) tell you?\newlineChoices:\newline(A) Between two annual physicals, Brooke grew 11 foot.\newline(B) Between two annual physicals, Brooke grew taller.
  1. Understand function f(x)f(x): Understand the function f(x)f(x) and what it represents.\newlineThe function f(x)f(x) gives Brooke's height in feet when she is xx years old. So, f(5)f(5) represents Brooke's height at 55 years old, and f(4)f(4) represents her height at 44 years old.
  2. Interpret inequality: Interpret the inequality f(5)>f(4)f(5) > f(4).\newlineThe inequality f(5)>f(4)f(5) > f(4) means that Brooke's height at 55 years old (f(5)f(5)) is greater than her height at 44 years old (f(4)f(4)). This indicates that Brooke grew taller between the ages of 44 and 55.
  3. Choose correct option: Choose the correct option based on the interpretation of the inequality.\newlineSince we have determined that Brooke grew taller between the ages of 44 and 55, the correct choice is:\newline(B) Between two annual physicals, Brooke grew taller.

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