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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) When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.
(C) The sum of Amelia's heights at 5 months and 25 months old is equal to her height at 30 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) When Amelia was 30 30 months old, she was 5 5 centimeters taller than when she was 25 25 months old.\newline(C) 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.

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) When Amelia was 30 30 months old, she was 5 5 centimeters taller than when she was 25 25 months old.\newline(C) 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.
  1. Understand Function H(t)H(t): Understand the function H(t)H(t) and what it represents.\newlineThe function H(t)H(t) models Amelia's height in centimeters at tt months old. This means that H(30)H(30) is Amelia's height at 3030 months, and H(25)H(25) is her height at 2525 months.
  2. Interpret Given Statement: Interpret the given statement H(30)=H(25)+5H(30)=H(25)+5. The statement means that Amelia's height at 3030 months (H(30)H(30)) is equal to her height at 2525 months (H(25)H(25)) plus an additional 55 centimeters.
  3. Determine Matching Answer Choice: Determine which answer choice matches the interpretation from Step 22.\newlineOption (A) suggests a time period for growth, which is not what the equation is about.\newlineOption (B) correctly matches our interpretation that Amelia was 55 centimeters taller at 3030 months than at 2525 months.\newlineOption (C) suggests an addition of heights at different ages, which is not correct.

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