Question

baby kana’s parents measure her height every month.
h(t) models kana’s height (in centimeters) when she was t months old.
what does the statement h(160) = 150 mean?
choose 1 answer:
a when kana was 150 months old, her height was equal to 160 centimeters.
b kana had the same height at 150 months old and at 160 months old.
c when kana was 160 months old, her height was equal to 150 centimeters.

Explanation:

The function \( H(t) \) models Kana's height (in centimeters) when she is \( t \) months old. In function notation, \( H(a)=b \) means when the input (age in months) is \( a \), the output (height in centimeters) is \( b \). For \( H(160) = 150 \), the input \( t = 160 \) (months old) gives an output of 150 (centimeters in height). So we analyze each option:

• Option A swaps the input and output values, so it's incorrect.
• Option B suggests comparing two different input - output pairs, but \( H(160)=150 \) only gives information about when \( t = 160 \), not about \( t = 150 \), so it's incorrect.
• Option C correctly interprets \( H(160)=150 \) as when Kana was 160 months old, her height was 150 centimeters.

Answer:

C. When Kana was 160 months old, her height was equal to 150 centimeters.