Question

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

below:
t=0.003.x² +0.001.x
How long, in seconds, will it take the computer to sort 12 objects?
Round your answer to the nearest hundredth of a second.

Answer 1

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

• t = 0.003 x² + 0.001 x

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)