Answered

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If the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 80-year old sea turtle?

Sagot :

Leora03

Answer:

10 feet

Step-by-step explanation:

Let the length and the age of the sea turtle be L inches and A years old respectively.

Since its length is directly proportional to its age,

L= kA, where k is an unknown constant.

Let's find the value of the constant k.

L= kA

When L= 3, A= 2,

3= k(2)

2k= 3

k= 3 ÷2

[tex]k = \frac{3}{2} [/tex]

Substitute the value of k back into the equation:

[tex]L = \frac{3}{2} A[/tex]

When A= 80,

[tex]L = \frac{3}{2} (80)[/tex]

L= 120

Length of sea turtle

= 120 inches

= (120 ÷12) feet

= 10 feet

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