Question

10 POINTS IF CORRECT PLUS BRAINLIEST ANSWER IF RIGHT I WILL CHECK!!!!!!!!!!
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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, 3.5) and (2, 2)

Step-by-step explanation:

We have the inequality x+y < 5.

Checking each ordered pair:

For the first ordered pair, (-1, 2), we cannot have a negative number of grapes.  This solution is not reasonable.

For the second ordered pair, (1, 3.5),

1+3.5 = 4.5 < 5

This is a reasonable solution.

For the third ordered pair, (2, 2),

2+2 = 4 < 5

This is a reasonable solution.

For the fourth ordered pair, (4.5, 0.5),

4.5+0.5 = 5

This is not less than 5, so this is not a reasonable solution.

For the last ordered pair, (5, 0),

5+0 = 5

This is not less than 5, so this is not a reasonable solution.

Answer 2

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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