The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
Answers
Given : The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him.
Rocco lost half a pound the first week.
To Find : Rocco’s weight in pounds, p, after w weeks
Solution:
Rocco weight = 55 pounds
Weight loss in one week = 0.5 pound
Weight loss in w weeks = 0.5w weeks
Weight after w weeks p = 55 - 0.5w pounds
p = 55 - 0.5w
p = 55 - 10 = 45 as need to loose 10 pounds
=> 45 = 55 - 0.5w
=> -10 = -0.5w
=> w = 20
20 weeks to loose 10 pounds
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