Question

27) A company promises to release a new

smartphone model every month. Each
model's battery life will be 4% longer than
the previous model's. If the current
model's battery life is 735.0 minutes, what
will the latest model's battery life be 7
months from now?
Write an exponential function, then answer the
question using that function. Show your
calculations.

Answer 1

935.65 minutes.

Explanation:

The battery life of the nth model can be represented by the exponential function:

f(n) = 735(1.04)^(n-1)

where n is the number of the model.

To find the battery life of the latest model 7 months from now, we need to find f(8):

f(8) = 735(1.04)^(8-1)

f(8) = 735(1.04)^7

f(8) = 935.65

Therefore, the battery life of the latest model 7 months from now will be approximately 935.65 minutes.

Note: The battery life is rounded to two decimal places.