Question

3. A linebacker weighs 285 pounds and is trying to gain 2 pounds per week until he weighs no less than the center for his team. The center weighs 310 pounds but he is losing 3 pounds per week. If the weight changes continue, which inequality will show how many weeks it will take for the linebacker to weigh at least the same weight as the center. A. 285+2p > 310- 3p I B. 285 + 2p < 310 - 3p C. 285 - 2p > 310 + 3p D. 285 - 2p < 310 + 3p

Answer 1

Let "p" be the number of week taken.

Line Backer is already 285 and gaining 2 lb per week [p].

Thus, his equation would be:

`285+2p`

Center is already 310 and losing 3 lb per week [p].

Thus, his eaquation would be:

`310-3p`

The linebacker wants to weight no less, that means equal or greater. Thus, the inequality to represent the situation would be:

`285+2p>310-3p`

The correct answer is "A"