Question

the data in the table represents a companys profit based on the number of items produced. profit based on number of the items produced items produced (x) dollars of profit (y) 100 -70,500 200 50 300 50,100 400 80,300 500 90,400 600 78,000 which equation best represents the data? y = 298.214x - 66317.667 y = 196.2x - 18710 y = -1.026x² + 1016.402x - 162075 y = -1.036x² + 1024.771x - 163710

Explanation:

Step1: Comprobar la primera ecuación \(y = 298.214x - 66317.667\)

Sustituir \(x = 100\): \(y=298.214\times100 - 66317.667=29821.4 - 66317.667=- 36496.267
eq - 70500\)

Step2: Comprobar la segunda ecuación \(y = 196.2x - 18710\)

Sustituir \(x = 100\): \(y=196.2\times100 - 18710=19620 - 18710 = 910
eq - 70500\)

Step3: Comprobar la tercera ecuación \(y=-1.026x^{2}+1016.402x - 162075\)

Sustituir \(x = 100\):

$$
LATEXBLOCK0
$$

Step4: Comprobar la cuarta ecuación \(y=-1.036x^{2}+1024.771x - 163710\)

Sustituir \(x = 100\):

$$
LATEXBLOCK1
$$

Sustituir \(x = 200\):

$$
LATEXBLOCK2
$$

Sustituir \(x = 300\):

$$
LATEXBLOCK3
$$

Sustituir \(x = 400\):

$$
LATEXBLOCK4
$$

Sustituir \(x = 500\):

$$
LATEXBLOCK5
$$

Sustituir \(x = 600\):

$$
LATEXBLOCK6
$$

Answer:

\(y=-1.036x^{2}+1024.771x - 163710\)