The amount of money in harold's savings account is inversely proportional to the number of bills he has to pay each month. if x represents the number of bills he has to pay each month, and y represents the money in his savings account, find the following: a- use the equation y = k/x to find k, the constant of variation; if harold has $209 in his bank account when he has 3 bills to pay. b- if harold has 5 bills to pay this month, how much money will he have in savings? c- if harold's wife sylvia sees only $69.67 in their savings account, about how many bills can she assume they had to pay this month?

Part A: k = 627

Part B: He will have $125.4 in savings

Part C: The number of bills this month he had to pay is 9

Step-by-step explanation:

* Lets study the problem

-The amount of money savings is inversely proportional to the

 number of bills should to pay each month

- The number of bills he has to pay each month = x

- The money is saving  = y

∵ y ∝ 1/x

∴ y = k/x ⇒ k, is the constant of variation

Part A:

* Harold has $209 in his bank account when he has 3 bills to pay

∵ x = 3 and y= 209 ⇒ substitute these value in the equation of variation

∴ 209 = k/3 ⇒ multiply each side by 3

∴ k = 627

* The equation of variation is ⇒ y = 627/x

Part B:

* Harold has 5 bills to pay this month

∵ x = 5

∴ y = 627/5 = $125.4

* He will have $125.4 in savings

Part C:

* He has $69.67 in his savings account

∵ y = 69.67

∴ 69.67 = 627/x ⇒ use cross-multiplication

∴ 69.67x = 627 ⇒ divide both sides by 69.67

∴ x ≅ 9

* The number of bills this month he had to pay is 9

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

depends on how many days you are talking about

step-by-step explanation: