Question

The mass of a sunfish and a giraffe, since birth, are represented by the following tables:

Answer 1

Answer:

Giraffe is linear. Sunfish is exponential.

Step-by-step explanation:

For the sake of clarity the first matrix, for Giraffe.

In this Giraffe the angular coefficient is not exact, but quite close.

m varies from 102 to 99

Time (months) and Mass (Kg)

$\begin{bmatrix}0 &63 & \\ 5 &165&\\10&264\\15&368\\20&468\\ \end{bmatrix}$

Geometrically, solving just plotting these two parameters as coordinate points.

(0, 63), (5,165), (10,264)...(20,468) We have a linear function.

2. Sunfish

$\begin{bmatrix}0 &3.5\\ 5 &19.3\\10&106.5\\15&587.5\\20&3240.5\\ \end{bmatrix}$

Exponential functions are given according to y=ax^n  let's call n, by t. and find the other variables

$y=ax^t$

$3.5=a(x)^t \therefore 3.5=a(x)^0 \\Finding\: x\\\\t= is\: the \:time \: in \:the\: table\\19.3=3.5(x)^1 \therefore 5.514=x \therefore x=5.541\\\\m_{3}=3.5(2.348)^3\\\\So:\\y=3.5(5.514)^t$

$y=3.5(5.514)^3 \therefore y=586.77$

An exponential function fits the best.