Question

If you awnser this question please include work

Answer 1

When x increases by 1, y increases by 3/2 = 1.5

Explanation:

If x and y are proporttional then

`(y)/(x)=costant\to(y)/(x)=a\to y=ax`

From the table we have x = 2 and y = 3.

Substitute:

`3=2a` divide both sides by 2

`(3)/(2)=(2a)/(2)\\\\(3)/(2)=a\to a=(3)/(2)`

Therefore we have:

`y=(3)/(2)x`

We increase x by 1:

`y_1=(3)/(2)(x+1)` use the distributive property

`y_1=\underbrace{(3)/(2)x}_(y)+(3)/(2)\Rightarrow y_1=y+(3)/(2)`

Answer 2

3/2

Explanation:

2+1=3

3*3/2=4.5

it would not make sense if it was 2/3 cuz look what u get.......

3*2/3=2