Katie is measured every year at her annual checkup. When she was 11, she was 57 inches tall. When she was 12, she was 59 inches tall. She just turned 13, and now she is 63 inches tall. Is the relationship between Katie's age and her height a linear relationship? Choices: (A)yes (B)no Now, justify your answer. Choices: (A)Katie's height increased by the same amount each year. (B)Katie's height increased by a different amount each year. (C)Katie got taller every year. (D)Katie's age increased by 1 every year.

Calculate Change in Height: Calculate the change in height from age 11 to 12. Change = Height at 12 - Height at 11 = 59 inches - 57 inches = 2 inches. Compare Yearly Changes: Calculate the change in height from age 12 to 13. Change = Height at 13 - Height at 12 = 63 inches - 59 inches = 4 inches. Compare the yearly changes to determine if they are the same. Year 11 to 12: Increase = 2 inches. Year 12 to 13: Increase = 4 inches. Since 2 inches ≠ 4 inches, the increases are not the same each year.

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Katie is measured every year at her annual checkup. When she was $11$ , she was $57$ inches tall. When she was $12$ , she was $59$ inches tall. She just turned $13$ , and now she is $63$ inches tall. Is the relationship between Katie's age and her height a linear relationship? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no $\newline$ Now, justify your answer. $\newline$ Choices: $\newline$ (A)Katie's height increased by the same amount each year. $\newline$ (B)Katie's height increased by a different amount each year. $\newline$ (C)Katie got taller every year. $\newline$ (D)Katie's age increased by $1$ every year.

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Q. Katie is measured every year at her annual checkup. When she was

11

, she was

57

inches tall. When she was

12

, she was

59

inches tall. She just turned

13

, and now she is

63

inches tall. Is the relationship between Katie's age and her height a linear relationship?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

\newline

Now, justify your answer.

\newline

Choices:

\newline

(A)Katie's height increased by the same amount each year.

\newline

(B)Katie's height increased by a different amount each year.

\newline

(C)Katie got taller every year.

\newline

(D)Katie's age increased by

1

every year.

Calculate Change in Height: Calculate the change in height from age $11$ to $12$ . $\newline$ Change = Height at $12$ - Height at $11$ = $59$ inches - $57$ inches = $2$ inches.
Compare Yearly Changes: Calculate the change in height from age $12$ to $13$ . $\newline$ Change = Height at $13$ - Height at $12$ = $63$ inches - $59$ inches = $4$ inches.
Compare Yearly Changes: Calculate the change in height from age $12$ to $13$ . $\newline$ Change = Height at $13$ - Height at $12$ = $63$ inches - $59$ inches = $4$ inches. Compare the yearly changes to determine if they are the same. $\newline$ Year $11$ to $12$ : Increase = $2$ inches. $\newline$ Year $12$ to $13$ : Increase = $4$ inches. $\newline$ Since $2$ inches $13$ $4$ $4$ inches, the increases are not the same each year.