Question

Which graph models the solution set of 50x + 150y>1500?

Answer 1

C.

Explanation:

Just took it. Edg 2020. Hope this helps :)

Answer 2

see attached diagram

Explanation:

First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.

When x=0, then 150y=1500, y=10.

When y=0, then 50x=1500, x=30.

Connect points (0,10) and (30,0) to get needed dashed line.

Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because

`50\cdot 0+150\cdot 0=0<1500.`

This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).