The data in the table represents a company’s profit based on the number of items produced

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Question:

The data in the table represents a company’s profit based on the number of items produced

Answers

Answer:(A) y= -1.026x^2 + 1016.402x - 162075Step-by-step explanation:Here is the options to the questionWhich equation best represents the data?A) y= -1.026x^2 + 1016.402x - 162075B) y= -1.036x^2 + 1024.771x - 163710C) y= 298.214x - 66317.667D) y= 196.2x – 18710(A) y= -1.026x^2 + 1016.402x - 162075The data above represents the company's profit based on number of items produced.To get the equation which best represents the data, we have to substitute the value of x into the given equations  By substituting x=100 in first equation, we have:y = -1.02x² + 1016.402x – 162075y = -1.026(100)² + 1016.402(100) – 162075y = -70500y = -70500 Option A satisfies.Using the second equation  When x = 100y = -1.036x^2 + 1024.771x - 163710y = -1.036(100)² + 1024.771(100) - 163710y = -10360 + 102477.1 – 163710y = -71592.9Option B doesn’t satisfies  We can also replace the various values of x in the equations to check whether or not they satisfy.

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