Question

On a coordinate plane, a dashed straight line with a negative slope goes through (0, 5) and (5, 0). Everything to the left of the line is shaded. Audrey has x pounds of red grapes and y pounds of green grapes. She has less than 5 pounds of grapes in all. Which are reasonable solutions for this situation? Check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)

Answer 1

Answer (-1,2) (1,3.5) (2,2) (4.5,0.5)

Explanation:

If you graph all of the points they are all in the shaded section but (5,0), it is on the line which is dashed so it isn't a part of the solution. Dashed lines are greater than and less than symbols (< >) so the exact number isn't a solution. A solid line would be greater than or equal to, or less than or equal to which would mean the exact number would be a solution, but not in this case.

Answer 2

(1, 3.5) (2, 2)

Explanation:

The sum of x- and y-values must be less than 5. That eliminates the last two choices.

It is not reasonable to have a negative weight of grapes, so the first choice is eliminated.

The reasonable solutions are ...

(1, 3.5) (2, 2)