Question

MODELING WITH MATHEMATICS: On a fishing trip, you catch two fish. The weight of the first fish is shown. The second fish weighs at least 0.5 pound more than the first fish. Write an inequality that represents the possible weights

w in pounds of the second fish.

Options:

A) w>0.5

B) w≥0.5

C) w<0.5

D) w≤0.5

Answer 1

The correct inequality to represent the weight of the second fish being at least 0.5 pounds more than the first is 'w ≥ 0.5' plus the weight of the first fish. Without the weight of the first fish, it is generally represented as 'w ≥ x + 0.5', where x is the weight of the first fish.

Step-by-step explanation:

You're asking about how to represent the weight of the second fish using an inequality, given that it weighs at least 0.5 pounds more than the first fish.

To express this mathematically, you would denote the weight of the second fish as 'w' and use the inequality to show that it must be at least 0.5 pounds heavier. The correct inequality is 'w ≥ 0.5' plus the weight of the first fish. If the weight of the first fish is not given, we assume it's some positive number 'x'. Therefore, the inequality representing the second fish's weight would be 'w ≥ x + 0.5'