Question

A computer can sort x objects in t seconds, as modeled by the function

Answer 1

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.