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At the beginning of a population study, a city had 370,000 people. Each year since, the population has grown by 6. Let be the number of years since start of the study. Let y be the city's population . Write an exponential function showing the relationship between y and

Respuesta :

The exponential function that gives the relationship between y and t is:

[tex]y = 370000(1.06)^t[/tex].

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem, the parameters are given as follows:

A(0) = 370000, r = 0.06.

Hence the equation is:

[tex]y = A(0)(1 + r)^t[/tex]

[tex]y = 370000(1 + 0.06)^t[/tex]

[tex]y = 370000(1 .06)^t[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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