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1. The number of employees at a certain company is 1440 and is increasing

at a rate of 1.5% per year. Write an exponential growth function to model

this situation. Then find the number of employees in the company after 9

years.

User Kief
by
8.3k points

1 Answer

1 vote

Answer:


y = 1440 e^(0.015 t)


y(9) = 1440 e^(0.015*9)= 1648.133

So then after 9 years we will have approximately 1649 number of employees

Explanation:

For this case we want to model the number of employees and we need to use an exponential model given by this general expression:


y = y_o e^(rt)

For this case the initial amount is
y_o = 1440 and the rate
r =0.015

And then the model would be given by


y = 1440 e^(0.015 t)

And if we find the value for t =9 years we got:


y(9) = 1440 e^(0.015*9)= 1648.133

So then after 9 years we will have approximately 1649 number of employees

User Jpact
by
8.6k points

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