Question

darius is studying the relationship between mathematics and art. he asks friends to each draw a \typical\ rectangle. he measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. the points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). which equation could darius use to determine the length, in centimeters, of a \typical\ rectangle for a given width in centimeters?
o y = 0.605x + 0.004
o y = 0.959x + 0.041
o y = 1.518x + 0.995
o y = 1.967x + 0.984

Explanation:

Step1: Comprobar primer par de puntos

Tomamos el primer par (6.1, 12.0).
Evaluamos en cada ecuación:
- Para y = 0.605x + 0.004, y = 0.605×6.1+0.004 = 3.6945 + 0.004=3.6985≠12.0
- Para y = 0.959x + 0.041, y = 0.959×6.1 + 0.041=5.8499+0.041 = 5.8909≠12.0
- Para y = 1.518x + 0.995, y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548≠12.0 (primer intento de evaluación incorrecto, re - evaluamos)
y = 1.518×6.1 + 0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598 + 0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598 + 0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1 + 0.995=9.2598+0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598 + 0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995=10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995=9.2598+0.995 = 10.2548 (error, corregido)
y = 1.518×6.1+0.995 = 9.2598+0.995 = 10.2

Answer:

y = 1.518x + 0.995