## Selena2345 2 years ago Heather wanted to measure the effects of erosion on a mound of soil in her backyard. The area she measured was 9 inches in height. During a storm it eroded 1/8 every day for 8 days. Write an expression that can be used to find the height of the mound of soil after the storm and simplify the expression.

1. electrokid

originally: 9in every day (1/8)th gets eroded.. how much is left out? -> 7/8th end of day 1-> $$h_1=9\times{7\over8}$$ end of day 2->$$h_2=h_1{7\over8}=9\times\left({7\over8}\right)^2$$ and so on.. end of nth day-> $$h_n=9\times\left({7\over8}\right)^n$$

2. electrokid

so how much would be left?

3. Selena2345

63/8

4. Selena2345

IS IT RIGHT electro kid

5. electrokid

it will be $$9\times\left({7\over8}\right)^8$$

6. Selena2345

3.092480242

7. electrokid

yep

8. electrokid

how did you get 63/8?

9. Selena2345

i multipled 9*7/8

10. electrokid

that is after the first day.. look at my elaboration.. after "n" number of days... $$h_n$$

11. electrokid

the question asks you to obtain that expression!

12. Selena2345

CAN YOU HELP ME WITH 9 WORD PROBLEMS PLEASE ?

13. electrokid

say whaaaat!! i needed to chill, so i did this one.. there are lots o' nice people over here... post em up, I am sure somebody would answer

14. electrokid

:)

15. Selena2345