Aculture increases by 500 bacteria every 2 hours. if there are 500 bacteria at the beginning, how many bacteria will there be by after 24 hours?

  6500

Step-by-step explanation:

In 24 hours, there are 12 times 2 hours, so the bacteria count will increase by 500 twelve times. That is, the increase after 24 hours will be ...

  12 × 500 = 6000 . . . bacteria

Since the starting number was 500, the total will be ...

  500 + 6000 = 6500 . . . . bacteria after 24 hours

If you like, you can compute the rate of change as 500 bacteria / (2 hours) = 250 bacteria/hour. Then the equation for the number is ...

  bacteria = 500 + 250h . . . . . where h is the number of hours.

Filling in h=24, we get

  bacteria = 500 + 250(24) = 500 +6000 = 6500 . . . . after 24 hours

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