Question

The function f(x) = 5(1.24)x models the length (cm) of a lizard from the beginning of its life. according to the model, which represents the length of the lizard at the beginning of its life?
a.1.24
b.5
c.x
d.y

Answer 1

Answer: b. 5

Step-by-step explanation:

Given : The function $f(x) = 5(1.24)^x$ ,models the length (cm) of a lizard from the beginning of its life.

Here the length of the lizard depends upon the time from the beginning, so x must be representing the time period from the beginning .

The general exponential equation is given by :-

$f(x) = A(b)^x$, where A is the initial value , b is the growth factor and x is the time.

Comparing the given equation to the general equation , we get, the length of the lizard at the beginning of its life = 5 cm

Hence, 5 represents the length of the lizard at the beginning of its life .

Answer 2

Beginning of the lizard's life is when x=0 (time zero), or the initial value.
At that point, f(x) has a value of f(0)=5(1.24^0)=5(1)=5 cm.