Question

PLEASE HELP!!!!

For a wrestler to qualify in his weight class, he needs to weigh more than 165 pounds but less than or equal to 185 pounds. He currenty weighs 189 pounds and is losing 0.5 of a pound per week.
Which models w, the number of weeks he should lose weight to be in the qualifying weight range?

A. 165 ≤ 189 – 0.5w < 185
B. 165 < 189 – 0.5w ≤ 185
C. 165 > 189 – 0.5w or 185 ≤ 189 – 0.5w
D. 165 ≥ 189 – 0.5w or 185 < 189 – 0.5w

Answer 1

B.
`165<189-0.5w\leq 185`

Explanation:

Let w represent the number of weeks.

We have been given that a wrestler currently weighs 189 pounds and is losing 0.5 of a pound per week. So the weight lost by wrestler in w weeks would be
`0.5w`.

The total weight of wrestler after w weeks would be:

`189-0.5w`

We are also told that the wrestler needs to weigh more than 165 pounds but less than or equal to 185 pounds. This means that total weight of wrestler should be less than or equal to 185 pounds and greater than 165 pounds.

We can represent this information in an inequality as:

`165<189-0.5w\leq 185`

Therefore, option B is the correct choice.