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Baby Amelia's parents measure her height every month.

H(t) models Amelia's height (in centimeters) when she was 
t months old.
What does the statement 
H(30)=H(25)+5 mean?
Choose 1 answer:
(A) It took Amelia 5 months to grow from a height of 25 centimeters to a height of 30 centimeters.
(B) The sum of Amelia's heights at 5 months and 25 months old is equal to her height at 30 months old.
(C) When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.

Baby Amelia's parents measure her height every month.\newlineH(t) H(t) models Amelia's height (in centimeters) when she was t t months old.\newlineWhat does the statement H(30)=H(25)+5 H(30) = H(25) + 5 mean?\newlineChoose 11 answer:\newline(A) It took Amelia 5 5 months to grow from a height of 25 25 centimeters to a height of 30 30 centimeters.\newline(B) The sum of Amelia's heights at 5 5 months and 25 25 months old is equal to her height at 30 30 months old.\newline(C) When Amelia was 30 30 months old, she was 5 5 centimeters taller than when she was 25 25 months old.

Full solution

Q. Baby Amelia's parents measure her height every month.\newlineH(t) H(t) models Amelia's height (in centimeters) when she was t t months old.\newlineWhat does the statement H(30)=H(25)+5 H(30) = H(25) + 5 mean?\newlineChoose 11 answer:\newline(A) It took Amelia 5 5 months to grow from a height of 25 25 centimeters to a height of 30 30 centimeters.\newline(B) The sum of Amelia's heights at 5 5 months and 25 25 months old is equal to her height at 30 30 months old.\newline(C) When Amelia was 30 30 months old, she was 5 5 centimeters taller than when she was 25 25 months old.
  1. Function H(t) H(t) : Understand the meaning of the function H(t) H(t) .\newlineThe function H(t) H(t) represents Amelia's height in centimeters at t t months old. The statement H(30)=H(25)+5 H(30) = H(25) + 5 is an equation involving this function.
  2. Left side of the equation H(30)H(30): Interpret the left side of the equation H(30)H(30).\newlineH(30)H(30) represents Amelia's height at 3030 months old.
  3. Right side of the equation H(25)+5H(25)+5: Interpret the right side of the equation H(25)+5H(25)+5.\newlineH(25)H(25) represents Amelia's height at 2525 months old, and adding 55 to this height suggests an increase of 55 centimeters.
  4. Analysis of the equation H(30)=H(25)+5H(30)=H(25)+5: Analyze the equation H(30)=H(25)+5H(30)=H(25)+5 as a whole.\newlineThe equation states that Amelia's height at 3030 months old (H(30)H(30)) is equal to her height at 2525 months old (H(25)H(25)) plus an additional 55 centimeters. This means that between the ages of 2525 and 3030 months, Amelia grew by 55 centimeters.

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