Question

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

below:
t=0.003x^2 +0.001x
How many objects are required to keep the computer busy for exactly 7
seconds?
Round to the nearest whole object.

Answer 1

48 objects

Explanation:

we have

`t=0.003x^(2)+0.001x`

where

t is the number of seconds

x is the number of objects

For t=7 sec

substitute in the equation and solve for x

`7=0.003x^(2)+0.001x`

Solve the quadratic equation by graphing

The solution is x=48 objects

see the attached figure