Question

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

Answer 1

Answer:

(A) y= -1.026x^2 + 1016.402x - 162075

Step-by-step explanation:

Here is the options to the question

Which equation best represents the data?

A) y= -1.026x^2 + 1016.402x - 162075

B) y= -1.036x^2 + 1024.771x - 163710

C) y= 298.214x - 66317.667

D) y= 196.2x – 18710

(A) y= -1.026x^2 + 1016.402x - 162075

The 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 – 162075

y = -1.026(100)² + 1016.402(100) – 162075

y = -70500

y = -70500

Option A satisfies.

Using the second equation  

When x = 100

y = -1.036x^2 + 1024.771x - 163710

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

Option B doesn’t satisfies  

We can also replace the various values of x in the equations to check whether or not they satisfy.