Question

The function f(x) = 5(1.24)^x models the length (cm) of a lizard each week from the beginning of the lizards life. In the model, which represents the number of weeks of growth?

Answer 1

x represents the number of weeks of growth.

Explanation:

Given:
`f(x)=5(1.24)^x`

We are given a models the length (cm) of a lizard each week from beginning of the lizards life.

f(x) represents the length of lizards after x week

x represents the number of weeks from beginning.

Because it is a exponential growth function

`y=ab^2`

where,

`a\rightarrow \text{ initial value}`

`b\rightarrow \text{ growth/decay factor}`

If b>0 then growth

If 0<b<1 then decay

x represents the time of decay or growth.

So, In the given equation x represents number of weeks of growth because b=1.24 >1

Answer 2

A well-defined model will tell you what represents the number of weeks of growth. Here, we have to assume that ...

x represents the number of weeks of growth.