Which equation best represents the data in the table if the math grade y depends on the number of days absent x?

Days Absent 0 2 4 6 8

Grade % 90 85 80 75 70

A. y=2/5x+90

B. y=-2/5x+90

C. y=5/2x+90

D. y=-5/2x+90

The equation y = - 5/2x+90 best represents the data in the table. Option D is the correct answer.

Step-by-step explanation:

To find the correct equation out of the four options, substitute y = grade% and x = days absent.

Check for option A)

when x = 0, y = 2/5 (0) + 90 = 90. option A satisfies.

when x = 2, y = 2/5 (2) + 90 = (4/5) + 90 ≠ 85. option A does not satisfy.

Check for option B)

when x = 0, y = - 2/5 (0) + 90 = 90. option B satisfies.

when x = 2, y = - 2/5 (2) + 90 = (-4/5) + 90 ≠ 85. option B does not satisfy.

Check for option C)

when x = 0, y = 5/2 (0) + 90 = 90. option C satisfies.

when x = 2, y = 5/2 (2) + 90 = (5) + 90 = 95 ≠ 85. option C does not satisfy.

Check for option D)

when x = 0, y = - 5/2 (0) + 90 = 90. option D satisfies.

when x = 2, y = - 5/2 (2) + 90 = (-5) + 90 = 85. option D satisfies.

when x = 4, y = - 5/2 (4) + 90 = (-5*2) + 90 = - 10+90 = 80. option D satisfies.

when x = 6, y = - 5/2 (6) + 90 = (-5*3) + 90 = - 15+90 = 75. option D satisfies.

when x = 8, y = - 5/2 (8) + 90 = (-5*4) + 90 = - 20+90 = 70. option D satisfies