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A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?

Sagot :

Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.

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 decay rate, as a decimal.

In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:

[tex]A(t) = 684(1.03)^t[/tex]

Then, in 7 months, it will be given by:

[tex]A(7) = 684(1.03)^7 = 841[/tex]

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

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