Question

2
4
6
8
when x = 0 choose
when x = 2 choose
choose
y=3
y=7
y=11
y=15
y=19
when x = 4
when x = 6
when x = 8 choose

Explanation:

Step1: Identify the pattern

Looking at the x-values (2, 4, 6, 8) and the possible y-values, we can check the difference. Let's assume a linear pattern. Let's find the slope. If we consider the options, let's check for x=2,4,6,8. Let's see the difference between y-values. Suppose the pattern is y = 2x + 3? Wait, no. Wait, let's check the options. Let's list x and possible y:

For x=2, let's see the options: Y=3,7,11,15,19. Let's check the difference between x values. The x-values are 2,4,6,8 (step of 2). Let's see the y-values. If x=2, let's see the pattern. Let's assume the pattern is y = 2x + 3? No, 22+3=7. Wait, 22 + 3=7? Wait, 22=4, 4+3=7. Then x=4: 24+3=11? 24=8+3=11. x=6: 26+3=15? 12+3=15. x=8: 28+3=19? 16+3=19. x=0: 20+3=3. Oh! So the pattern is y = 2x + 3.

Step2: Verify for each x

• When x=0: y=20 +3=3? Wait, no, wait the options for x=2: Y=7. Wait, maybe I made a mistake. Wait, let's check the x-values. The left column has 2,4,6,8. So maybe the x starts at 2. Wait, the problem has x=0,2,4,6,8. Let's check the y-values. Let's see the difference between x=2 and x=4. If x=2, y=7; x=4, y=11. The difference in x is 2, difference in y is 4. So slope is 4/2=2. So the equation is y = 2x + b. Let's plug x=2, y=7: 7=22 + b → b=3. So y=2x +3. Then:

• x=0: y=2*0 +3=3? But the options for x=2 is Y=7. Wait, maybe the x in the left column is the y? No, the left column is 2,4,6,8 (maybe the height). Wait, maybe the pattern is that for x=2, the y is 7; x=4, y=11; x=6, y=15; x=8, y=19; x=0, y=3. Let's check:

x=0: y=3 (2*0 +3=3)

x=2: y=7 (2*2 +3=7)

x=4: y=11 (2*4 +3=11)

x=6: y=15 (2*6 +3=15)

x=8: y=19 (2*8 +3=19)

Yes, that fits. So the pattern is y = 2x + 3.

So:

• When x=0: y=3? Wait, no, 2*0 +3=3. But let's check the options. Wait, the dropdown for x=2 has Y=7 as an option. So let's confirm:

For x=2: y=2*2 +3=7 → Y=7.

For x=4: y=2*4 +3=11 → Y=11.

For x=6: y=2*6 +3=15 → Y=15.

For x=8: y=2*8 +3=19 → Y=19.

For x=0: y=2*0 +3=3 → Y=3.

So the answers are:

When X=0: Y=3

When X=2: Y=7

When X=4: Y=11

When X=6: Y=15

When X=8: Y=19

Answer:

When X = 0: 3
When X = 2: 7
When X = 4: 11
When X = 6: 15
When X = 8: 19

(Assuming the pattern \( y = 2x + 3 \) fits the given options and the step - by - step increase in \( x \) by 2, leading to \( y \) increasing by 4 each time.)