Jake, Andy, and Damon caught 78 pounds of large mouth bass. Jake caught 22 pounds. Andy caught at least 30 pounds, but no greate

Question

mr Goodwill [35]

3 years ago

6

Jake, Andy, and Damon caught 78 pounds of large mouth bass. Jake caught 22 pounds. Andy caught at least 30 pounds, but no greate

r than 36 pounds. Which inequality represents the weight (x) of the bass that Damon caught?

Mathematics

1 answer:

likoan [24] · Answer 1 · 2022-05-09T08:15:44+03:00

The inequality that represents Damon's catch is
20≤x≤26.

Since Jake caught 22 pounds, that means that together, Andy and Damon caught 56 pounds.

The lower limit for Andy is 30 pounds; if he caught this much, then Damon would have caught 56-30=26 pounds.
The upper limit for Andy is 36 pounds; if he caught this much, then Damon would have caught 56-36 = 20 pounds. This means that Damon's catch is between 20 and 26 pounds.