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In nature, biological growth is modeled using

exponential equations. To determine the
population density of a certain type of
non-native plant, the number of plants, N, in
an area at time t, where a and b are
constants is modeled by the function
N(t) = ab'.
The table shows two values of the function
for a certain non-native plant.
Which equation can be used to find the
number of plants in an area at time t?
t
0
1
في الطبيعة، يتم نمذجة النمو البيولوجي بإستخدام
معادلة أسية. لتحديد الكثافة السكانية لنوع محدد
من النباتات غير المحلية، تم نمذجتها باستخدام
الدالة )t) = ab) حيث N عدد النباتات في
منطقة محددة عند الزمن t و be a ثوابت.
يوضح الجدول قيمتين للدالة لنبات غير محلي.
N(t)
150
450
أي معادلة يمكن أن تُستخدم لإيجاد عدد النباتات
في منطقة ما عند الزمن t ؟

User Shane
by
7.8k points

1 Answer

2 votes

Answer and Explanation:

The function that models the number of plants in an area at time t is given by:

N(t)=ab^t

where a and b are constants.

The table provided in the question shows two values of the function for a certain non-native plant. We can use these values to find the values of a and b and then use the resulting equation to find the number of plants in an area at any given time t.

the equation that can be used to find the number of plants in an area at time t is:

N(t)=100⋅2^t

where t is the time in years.

Kindely, double check for this Q.

User Chique
by
7.6k points

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