A computer can sort x objects in t seconds, as modeled by the function
       
      
                
     
    
    
    
    
    1 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.
   
 
                                
             
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