Question

If you awnser this question please include work

Answer 1

Answer:

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

Step-by-step explanation:

If x and y are proporttional then

$\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax$

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

Substitute:

$3=2a$          divide both sides by 2

$\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}$

Therefore we have:

$y=\dfrac{3}{2}x$

We increase x by 1:

$y_1=\dfrac{3}{2}(x+1)$             use the distributive property

$y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}$

Answer 2

Answer:

3/2

Step-by-step 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