Question

fig. 2 fig. 3 fig. 4 what is the rule of the pattern based on the growth and the y= 3x+1 y=1x+3 y=3x+4 y=3x

Explanation:

Step1: Count tiles per figure

Fig.2: $y=7$, $x=2$; Fig.3: $y=10$, $x=3$; Fig.4: $y=13$, $x=4$

Step2: Test linear formula $y=mx+b$

Use $x=2,y=7$ and $x=3,y=10$:
Slope $m=\frac{10-7}{3-2}=3$
Substitute $m=3$, $x=2$, $y=7$ into $y=mx+b$:
$7=3\times2+b$ → $b=7-6=1$

Step3: Verify formula

For $x=4$: $y=3\times4+1=13$, matches Fig.4.

Answer:

y=3x+1