WARM UP

1. A(N) ______________________________ “UNDOES” ANOTHER OPERATION.

2. FIND THE CONSTANT OF VARIATION:

3. FIND THE CONSTANT OF VARIATION:

4. WRITE A DIRECT VARIATION EQUATION THAT CONTAINS THE POINT

5. WRITE A DIRECT VARIATION EQUATION THAT CONTAINS THE POINT

LESSON 64,

INVERSE VARIATIONEXPRESSIONS AND EQUATIONS

INVERSE VARIATION

• REMEMBER DIRECT VARIATION OCCURS BETWEEN TWO VARIABLES IF AND .

• INVERSE VARIATION OCCURS WHEN THE PRODUCT OF TWO VARIABLES IS A CONSTANT: OR

• WE SAY THAT VARIES INVERSELY AS

• PRODUCT RULE: IF AND ARE SOLUTIONS OF AN INVERSE VARIATION, THEN

EXAMPLETELL WHETHER EACH RELATIONSHIP IS AN INVERSE VARIATION. EXPLAIN.

a.

b.

YOUR TURNWITH A PARTNER, DECIDE WHETHER EACH RELATIONSHIP IS AN INVERSE VARIATION. EXPLAIN.

a.

b.

EXAMPLEIF VARIES INVERSELY AS AND WHEN , FIND WHEN .

YOUR TURNWITH A PARTNER, SOLVE THE FOLLOWING PROBLEM:

IF VARIES INVERSELY AS AND WHEN , FIND WHEN .

EXAMPLEWRITE AND INVERSE VARIATION RELATING TO WHEN AND . THEN GRAPH THE RELATIONSHIP.

YOUR TURNWITH A PARTNER, WRITE AN INVERSE VARIATION RELATING AND WHEN AND . THEN GRAPH THE RELATIONSHIP.

EXAMPLEA TRUCK DRIVER IS DELIVERING GOODS FROM ONE STATE TO ANOTHER. HER SPEED IS INVERSELY RELATED TO HER TRAVEL TIME. IF SHE IS TRAVELING AT 55 MILES PER HOUR, IT WILL TAKE HER 13 HOURS TO REACH HER DESTINATION. HOW LONG WILL IT TAKE HER IF SHE TRAVELS AT 65 MILES PER HOUR?

YOUR TURNSIERRA FOUND AN INVERSE RELATIONSHIP BETWEEN HER HOURLY PAY RATE AND THE NUMBER OF HOURS SHE MUST WORK TO EARN A SET AMOUNT. IF SHE WORKS 7 HOURS FOR $8 AN HOUR, HOW LONG WILL SHE WORK AT $10 AN HOUR TO EARN THE SAME AMOUNT?

HOMEWORK QUESTIONS

HOMEWORK QUESTIONS

CORRECTING HOMEWORK• BE KIND.

• IF THE PAPER IN FRONT OF YOU HAS NO WORK SHOWN, RETURN IT TO ITS OWNER.

• IF THE PAPER IN FRONT OF YOU IS NOT IN PENCIL OR BLACK INK, RETURN IT TO ITS OWNER.

• IF THE PAPER IN FRONT OF YOU IS NOT COMPLETE, RETURN IT TO ITS OWNER.

• REMEMBER YOU ARE FILLING OUT THE SCORE SHEET FOR THE PERSON THAT YOU ARE CORRECTING.

• BE SURE TO WRITE “C.B. ____________” WITH YOUR NAME ON THE PAPER YOU GRADED AND ON THE SCORE SHEET.

HOMEWORK

• 1ST AND 2ND HOUR: LESSON 64 #3-6, 11-13, 15-19, 23-26, 28-30, PRACTICE A-E

• 3RD HOUR: LESSON 64 #3-5, 11-12, 15-18, 23-24, 26, 28, 30