Question

The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

a) (0,-3)
b) (-3,0)
c) (3,3)
d) (-3,-3)

Answer 1

Hello.

I took usatestprep.

Its c) (3,3)

Hope it helps.

: )

Explanation:

Answer 2

The correct option is c.

Explanation:

The given equation is

`15x+7y=15`

The given inequality is

`15x+7y\geq 15`

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

`15(0)+7(-3)\geq 15`

`-21\geq 15`

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

`15(-3)+7(0)\geq 15`

`-45\geq 15`

This statement is false, therefore option b is incorrect.

Check the point (3,3),

`15(3)+7(3)\geq 15`

`66\geq 15`

This statement is true, therefore option c is correct.

Check the point (-3,-3),

`15(-3)+7(-3)\geq 15`

`-66\geq 15`

This statement is false, therefore option d is incorrect.