Answer:
The inequality =
106 - 4x ≥ 70
The number of weeks =
9 weeks
Explanation:
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
Let the number of weeks for Casey's dog to lose for 4 pounds be represented as: x
The goal weight = 70 Ibs
Hence:
70 Ibs = 106Ibs - 4Ibs ×x
106 - 4x ≥ 70
4x ≥ 106 - 70
4x ≥ 36
x ≥ 36/4
x ≥ 9 weeks
It would take 9 weeks for Casey's dog to lose 4 pounds per week and weigh 70 Ibs
Therefore:
The inequality =
106 - 4x ≥ 70
The number of weeks =
9 weeks