Question

which equation gives the rule for this table?
x | y
2 | 14
3 | 21
4 | 28
5 | 35
y = 2x
y = -2x
y = -7x
y = 7x

Explanation:

Step1: Test \( y = 2x \)

For \( x = 2 \), \( y = 2\times2 = 4
eq 14 \). So this is wrong.

Step2: Test \( y = -2x \)

For \( x = 2 \), \( y = -2\times2 = -4
eq 14 \). Wrong.

Step3: Test \( y = -7x \)

For \( x = 2 \), \( y = -7\times2 = -14
eq 14 \). Wrong.

Step4: Test \( y = 7x \)

For \( x = 2 \), \( y = 7\times2 = 14 \). For \( x = 3 \), \( y = 7\times3 = 21 \). For \( x = 4 \), \( y = 7\times4 = 28 \). For \( x = 5 \), \( y = 7\times5 = 35 \). All match.

Answer:

D. \( y = 7x \)