Warmup Translate the following phrases 1 fifty less
- Slides: 15
Warm-up � Translate the following phrases. 1. fifty less than 2 times x 2. the quotient of 6 and y, increased by one 3. the product of z and five more than z
Unit 6 Study Guide List the characteristics of Direct proportion/variation. Formula: y=kx Formula for k: Graph: Straight line that goes through origin X & Y Relationship: They move in the same direction – up together or down together.
Unit 6 Study Guide List the characteristics of Inverse proportion/variation. Formula: Formula for k: k=yx Graph: The line curves & will never touch the x or y axis. X & Y Relationship: They move different directions.
Unit 6 Study Guide 2. The following 4 coordinates are connected points on a coordinate plane: (2, 3), (1, 6), (3, 2), (6, 1). Do the connected points represent a direct proportion (variation), inverse proportion (variation), or neither? Why? If you have problems graphing the order pairs, place them in an x & y table. X 1 2 3 6 k=yx Y 6 3 2 1 6 6 Inverse
Unit 6 Study Guide 3. x varies inversely with y. If x=8 and y=2, what is the value of y when x=4? Multiply both sides by 8 k = 16
Unit 6 Study Guide 4. y varies directly with x. If y=12 and x=3, what is the value of y when x=5? Divide both sides by 3
Unit 6 Study Guide � Direct Inverse 7. 5 100
Unit 6 Study Guide 7. Sean make $10. 00 per hour. How could you determine how much money he could make? Is This an example of direct or inverse proportion (variation)? Multiply the number of hours he work by the amount he gets paid an hour. Direct
Unit 6 Study Guide � cups dozen Divide both sides by 6
Unit 6 Study Guide 9. An athlete is running a 100 meter dash. Write an equation that relates the athlete’s average running speed “r” (in meters per second) and the time “t” (in seconds) that the athlete will take to finish the race. Is the equation an inverse or direct proportion (variation)? Explain Inverse – the faster your speed (r) the less the time.
Unit 6 Study Guide 10. Alex rides his bike from school to home in x y 30 minutes traveling 15 mph. Today he needs to get home 5 minutes faster. How fast must he ride his bike? Multiply both sides by 30
Unit 6 Study Guide 16. The product of the number of books and videos purchased is 72. If 12 videos are purchased how many books can be bought? Divide both sides by 12
Unit 6 Study Guide 12. If there are 4 books purchased, how many videos can be bought? Need the information from the previous problem. Divide both 72 = 4 v sides by 4 18 = v
Unit 6 Study Guide Extra Problem When you are given a table of values for x and y, how can you tell if it represents a direct, an inverse proportion (variation) or neither? Look to see if you can find a constant. AND If the variables have a relationship.
Reminder � Tomorrow I will have tutoring at 8: 15 am. Come in if you would like some more practice with me before your test. �Study, Study…
