exit ramp experiment pt 2

1
Exit Ramp Experiment – Part 2 We are going to push cars down a ramp to determine the how the variables in the rela<onship effect one another. 1. Iden<fy the following: Independent variable, Dependent variable, Rate of Change, and the units of each of the three. Conduct the experiment by crea<ng a simple table. Take an ini<al measurement. Then change the independent variable and take a new measurement. Record your data in the table. Repeat for a total of 5 domain values. 2. Does the data depict a func<onal rela<onship? Jus<fy your answer. 3. What kind of correla<on does your data depict? Jus<fy your answer. 4. What is the domain and range of your data? Use the correct nota<on. 5. Create a scaOerplot of your data on graph paper. Make sure to label the x and y axis with the correct quan<ty and units. Make sure to use an appropriate scale. Create a <tle for your scaOerplot 6. Does your data depict a con<nuous rela<onship or a discrete rela<onship? Jus<fy your answer. 7. Use you scaOerplot to determine the height of the ramp if the car travels 22 feet. Assume your ramp is sufficiently long. Explain how you got your answer. 8. Use your scaOerplot to determine distance traveled if 6.5 books were used. Assume you can split a book in half. Explain how you got your answer. x y 1 5 3 3 1 0 x y 1 5 3 3 4 2 Not a func*on because 1 has a y value of 5 and 0 These are func*ons since each x value has only one y value, even if the points repeat. x y 1 5 1 5 4 2 Posi<ve Correla<on: as x increases, y increases Nega<ve Correla<on: as x increases, y decreases or as x decreases, y increases No Correla<on: neither above, no trend x y 3 12 1 10 0 9 2 7 5 3 Domain: [3,1,0,2,5] Range: [12,10,9,7,3] # texts month miles hour Discrete: Can you send 0.5 or 0.365 of text message? No only whole texts. A graph of isolated points. Con<nuous: a situa<on that can be expressed as a decimal or frac<on. It is possible to travel at a speed of 64.24564 mph.

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Exit  Ramp  Experiment  –  Part  2    We  are  going  to  push  cars  down  a  ramp  to  determine  the  how  the  variables  in  the  rela<onship  effect  one  another.    1.  Iden<fy  the  following:  Independent  variable,  Dependent  variable,  

Rate  of  Change,  and  the  units  of  each  of  the  three.    Conduct  the  experiment  by  crea<ng  a  simple  table.    Take  an  ini<al  measurement.    Then  change  the  independent  variable  and  take  a  new  measurement.    Record  your  data  in  the  table.    Repeat  for  a  total  of  5  domain  values.    2.    Does  the  data  depict  a  func<onal  rela<onship?    Jus<fy  your  answer.  

   3.  What  kind  of  correla<on  does  your  data  depict?  Jus<fy  your  answer.    4.  What  is  the  domain  and  range  of  your  data?  Use  the  correct  nota<on.    5.  Create  a  scaOerplot  of  your  data  on  graph  paper.    Make  sure  to  label  the  x  and  y  axis  with  the  correct  quan<ty  and  units.    Make  sure  to  use  an  appropriate  scale.  Create  a  <tle  for  your  scaOerplot    6.  Does  your  data  depict  a  con<nuous  rela<onship  or  a  discrete  rela<onship?    Jus<fy  your  answer.            7.  Use  you  scaOerplot  to  determine  the  height  of  the  ramp  if  the  car  travels  22  feet.    Assume  your  ramp  is  sufficiently  long.    Explain  how  you  got  your  answer.    8.  Use  your  scaOerplot  to  determine  distance  traveled    if  6.5  books  were  used.    Assume  you  can  split    a  book  in  half.    Explain  how  you  got  your  answer.  

x   y  

-­‐1   5  

3   3  

-­‐1   0  

x   y  

-­‐1   5  

3   3  

4   -­‐2  

Not  a  func*on  because  -­‐1  has  a  y  value  of  5  and  0    

These  are  func*ons  since  each  x  value  has  only  one  y  value,  even  if  the  points  repeat.  

x   y  

-­‐1   5  

-­‐1   5  

4   -­‐2  

Posi<ve  Correla<on:  as  x  increases,  y  increases  Nega<ve  Correla<on:  as  x  increases,  y  decreases  

   or  as  x  decreases,  y  increases  No  Correla<on:  neither  above,  no  trend  

x   y  

-­‐3   12  

-­‐1   10  

0   9  

2   7  

5   3  

Domain:  [-­‐3,-­‐1,0,2,5]    Range:  [12,10,9,7,3]  

# textsmonth

mileshour

Discrete:  Can  you  send  0.5  or  0.365  of  text  message?    No  only  whole  texts.    A  graph  of  isolated  points.  

Con<nuous:  a  situa<on  that  can  be  expressed  as  a  decimal  or  frac<on.    It  is  possible  to  travel  at  a  speed  of  64.24564  mph.