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jolli1 [7]
3 years ago
13

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?
Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer:

x represents the number of weeks of growth.

Step-by-step 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

Dmitry_Shevchenko [17]3 years ago
5 0
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.
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Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

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