A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spores at 12:00am, estimate the expected number of mold spores at 9:30am.

9514 1404 393

  33,736

Step-by-step explanation:

An appropriate exponential model for the number n after t hours is ...

  n(t) = 14000×1.097^t

After 9.5 hours, the number is expected to be ...

  n(9.5) = 14000×1.097^9.5 ≈ 33,736

Additional comment

The model has the form ...

  (initial number)×(1 +growth rate)^t . . . . where t is the number of periods

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