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


t=0.005x^2+0.002x


How many objects are required to keep the computer busy for exactly 9 seconds?


Round to the nearest whole object.

Verified Answer :

Edufirst

t = 9 = 0.005x^2 + 0.002x

0.005x^2 + 0.002x - 9 = 0

To solve this quadratic equation divide by 0.005

x^2 + 0.4x - 1800 = 0

x = {-b +/- √[b^2 -4ac] } / 2a = {-0.4 +/-√[0.16 + 7200]} / 2 = { - 0.4 +/- 84.85}/2 =

Use only the positive result: x =  42.2 = 42

Answer: 42

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