Ask Question
3 March, 19:53

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of the 1st second, 15 centimeters by the end of the 2nd second, 20 centimeters by the end of the 3rd second, and so on. Assuming that the ditch has sufficient capacity for storage, how many centimeters of water will it have after 10 seconds?

+4
Answers (1)
  1. 3 March, 23:07
    0
    Firstly, let's create a function of f (t) where t represents the time that has past, and f (t) represents the amount of rainwater. We know that when t=1, then f (t) = 10, and t=2 then f (t) = 15. So, let's take that and analyze it:

    (1,10)

    (2,15)

    m = (15-10) / (2-1) = 5

    y-intercept = 5

    ∴ f (t) = 5t+5

    Now we just evaluate t for 10:

    f (10) = (5*10) + 5

    f (10) = 55
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of the 1st ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers