Graphing Proportional Relationships Day 2

Transcription

1 Graphing Prprtinal Relatinships Day 2 An Elm tree grws 8 inches in ne year # f years # f inches Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Answer n next slide

2 An Elm tree grws 8 inches in ne year # f years # f inches Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Amelia Bedelia makes three pies every hur # f hurs # f pies Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Answer n next slide

3 Amelia Bedelia makes three pies every hur # f hurs # f pies Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Prfessr McGnagall grades 6 exams every hur. # f hurs # f exams Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Answer n next slide

4 Prfessr McGnagall grades 6 exams every hur. # f hurs # f exams Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change The Dry Cleaner charges $12 t clean and press 2 jackets. # f jackets cst ($) Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change Answer n next slide

5 The Dry Cleaner charges $12 t clean and press 2 jackets. # f jackets cst ($) Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change The Dry Cleaner charges $12 t clean and press 2 jackets. # f jackets cst ($) Make a table f values Draw the graph f the prprtinal relatinship Describe the rate f change

6 Bananas cst $2.40 per pund. # f punds cst ($) 1. Identify the unit rate. 2. Des this represent a prprtinal relatinship? Why/why nt? 3. What des the pint (2,4.80) mean in terms f this prblem? 4. Hw much wuld it cst fr 24 punds f bananas? Answer n next slide 5. Write the equatin t represent the cst f bananas per pund. Bananas cst $2.40 per pund. # f punds cst ($) Identify the unit rate. 2. Des this represent a prprtinal relatinship? Why/why nt? 3. What des the pint (2,4.80) mean in terms f this prblem? 4. Hw much wuld it cst fr 24 punds f bananas? 5. Write the equatin t represent the cst f bananas per pund.

7 A recipe calls fr 6 cups f sugar fr every 2 cups f strawberries. 1. Cmplete the table f values that represent this rate. Then graph. cups f strawberries cups f sugar 2. Des this represent a prprtinal relatinship? Why? 3. What is the rate f change? 4. Write and use the equatin t find ut hw much sugar yu wuld need fr 10 cups f strawberries. Slve. 5. What des the pint (6,18) represent accrding t this prblem? 6. What is the unit rate? 7. What is the cnstant f prprtinality in this prblem. Answer n next slide A recipe calls fr 6 cups f sugar fr every 2 cups f strawberries. 1. Cmplete the table f values that represent this rate. Then graph. cups f strawberries cups f sugar 2. Des this represent a prprtinal relatinship? Why? 3. What is the rate f change? 4. Write and use the equatin t find ut hw much sugar yu wuld need fr 10 cups f strawberries. Slve. 5. What des the pint (6,18) represent accrding t this prblem? 6. What is the unit rate? 7. What is the cnstant f prprtinality in this prblem.

8 Independent Variable input dmain explanatry variable ex. Hw many gallns yu use Dependent Variable utput range respnse variable ex. Cst Rate f Change (y/x) rise/run Slpe The Prprtinal Relatinship: Cnstant f Prprtinality Unit Rate $4 per galln fr gas (k) What is a Prprtinal Relatinship? Tw quantities vary directly with each ther. Als knwn as a direct prprtin. The situatins will describe a relatinship that is a unit rate. The graph will be a line thrugh the rigin rising frm left t right. There will be patterns in tables where the pairs f numbers can frm a prprtin (equal ratis). There will be a cnstant rate f change where it will be always increase. It can be fund by dividing the y value by the x value. (slpe = rise/run) The relatinship between tw variables, x and y, can be expressed in the frm f y = kx. (k = the cnstant f prprtinality, unit rate and slpe.)