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A local newspaper said that the city ofLuttrell is expected to grow by 4% each year.The population in 2012 is 130,457 people.Let t represent the number of years after 2012.Which equation could be used to determinethe total expected population, L. of Luttrell intyears?

User Durgpal Singh
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1 Answer

22 votes
22 votes

Answer:

The equation that could be used to determine the total expected population L of Luttrell in t years is;


L=130,457\cdot1.04^t

Step-by-step explanation:

Given that the city population is expected to grow by 4% each year.

Initially, there were 130,457 people in the city.


\begin{gathered} r=4\text{\% = 0.04} \\ L_0=130,457 \end{gathered}

The population at time t from the initial time can be calculated as;


\begin{gathered} L=L_0(1+r)^t \\ \text{substituting the values;} \\ L=130,457(1+0.04)^t \\ L=130,457(1.04)^t \\ L=130,457\cdot1.04^t \end{gathered}

Therefore, the equation that could be used to determine the total expected population L of Luttrell in t years is;


L=130,457\cdot1.04^t

User Ian Wetherbee
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