Question

which equation gives the rule for this table?

x	y
3	-48
4	-64
5	-80
6	-96

$y = -16x - 24$
$y = -16x - 6$
$y = -16x$
$y = -16x + 27$

Explanation:

Step1: Test first x,y in options

For $x=3$, $y=-48$:

• $y=-16(3)-24=-48-24=-72

eq-48$

• $y=-16(3)-6=-48-6=-54

eq-48$

• $y=-16(3)=-48=-48$ (matches)
• $y=-16(3)+27=-48+27=-21

eq-48$

Step2: Verify with second x,y

For $x=4$, $y=-64$:
$y=-16(4)=-64=-64$ (matches)

Step3: Verify remaining x,y values

For $x=5$: $y=-16(5)=-80$ (matches table)
For $x=6$: $y=-16(6)=-96$ (matches table)

Answer:

$y = -16x$