Question

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

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

Answer 1

(A)

Explanation:

WE are given the data which represents the company's profit based on number of items produced.

The equation which best represents the data can be found out by substituting the values of x in the given equations.

So,substituting x=100 in first equation, we have:

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

`y=-1.026(100^(2))+1016.402(100)-162075`

`y=-10260+101640.2-162075`

`y=-70500`

which satisfies the equation. Hence, option A satisfies.

We can also substitute the different values of x in the equations to check whether it satisfies or not.

Answer 2

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

Explanation:

Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:

Substituting the value of x= 100 in the given equations,

A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500

Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.