Answer:
y = -0.093x^2 - 1.586x + 12.383 is closest to being "true" for a point selected at random from the given table.
Explanation:
Eliminate the first and third options immediately, since neither is a quadratic.
Choose any point from those given, such as (4, 7.3). Check out either the second or the fourth option; I'll arbitrarily choose the fourth: y = 0.093x^2 - 1.586x + 12.383.
Subst. 7.3 for y and 4 for x: 7.3 = 0.093(16) - 1.586 (4) + 12.383. Is this true or false?
7.3 = 1.488 - 6.344 + 12.383
7.3 = 1.488 + 6.039
7.3 = 7.527 This is close but still too far off to
be absolutely correct,
Check out the second equation: y = -0.093x^2 - 1.586x + 12.383
7.3 = -1.488 -6.344 + 12.383
7.3 = -7.832 + 12.383
7.3 = -4.551 This is much further off!
Select the fourth equation as being closest to being satisfied by the point (4, 7.3).