Question

Hannah put her dog on a diet and kept track of his weight. At the end of 6 weeks, she recorded the dog's weight change as – 8 1/3 pounds. She notice that he had lost the same amount of weight each week. What is the dog's weight change each week of the diet? Enter your answer as a simplified mixed number.

Answer 1

the change is the dog's weight is -8 1/3 pounds in 6 weeks

that is

`-8(1)/(3)=(-25)/(3)`

6 weeks weight change is - 25/3

so for 1 week

`((-25)/(3))/(6)=(-25)/(6*3)=(-25)/(18)`

so weight change is each week is - 25 / 18

`(-25)/(18)=-1(7)/(18)`

so the answer is -1 7/18 pounds.