Mathematics

Question

A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.007x2 + 0.003x
How many objects are required to keep the computer busy for exactly 9
seconds?
Round to the nearest whole object.

2 Answer

  • Answer:

      36 objects

    Step-by-step explanation:

    You want the value of x when t=9, so you're solving ...

      9 = 0.007x^2 +0.003x

      9 = 0.007(x^2 + 3/7x)

    From here, we observe that an approximation is probably sufficient.

     9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

      x ≈ 3/√.007 ≈ 35.9 ≈ 36

    We can check:

      .007(36)(36 3/7) = 9.18

      .007(35)(35 3/7) = 8.68

    To keep the computer busy for 9 seconds, it needs to sort 36 objects.

     

  • Answer:

    36

    Step-by-step explanation:

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