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Mr. Roberts Lunch
       Card
How much will Mr. Roberts have after 14 days?

 I can calculate y=mx+b from just t wo points.
What does the x intercept mean?
      What does the y intercept mean?
$$$




         days
Ugh.... My paper is
   to short and I
   didn’t find the
 answer yet. There
 has to be a better
         way!




  I do remember my
    teacher saying
something about base
       and rate...
Use y=mx+b to
 calculate how
much I have after
    14 days.

 Be prepared to
  explain your
reasoning to the
     class.
Base rate /
    slope intercept

y=mx+b
y=rate(x) + base
Start Up:
 I can write an equation using 2 points
Homework out
Write down                        Celsius   Fahrenheit
everything the                      X           Y
chart tells you and
everything it does
not tell you.            Day 1   20 degrees 68 degrees

Can you write an
equation for this?
                         Day 2   35 degrees 95 degrees
If it is 21 degrees C,
what temperature
is it in Fahrenheit?
Lets take a look at
 a easier example.
What is the “per” (rate)?
     It is ALWAYS:
           Y/X
         Y PER X
      $$$ per day
Write down how you find the equation
    if you are given t wo numbers.

              (24, 20)
              (27, 25)
Start Up:
 I can write an equation using 2 points
Homework out
Write down                        Celsius   Fahrenheit
everything the                      X           Y
chart tells you and
everything it does
not tell you.            Day 1   20 degrees 68 degrees

Can you write an
equation for this?
                         Day 2   35 degrees 95 degrees
If it is 21 degrees C,
what temperature
is it in Fahrenheit?
Temperature is Linear! What is the conversion Equation?


                          Celsius                   F=
                                      Fahrenheit
                            X                      99
                                          Y
                                                   85
               Day 1     20 degrees   68 degrees   -47
                                                   -30
                                                   -56
               Day 2     35 degrees   95 degrees   56
                                                   72
               Day 3        -11           ?
The Work: y=mx+b

         20 degrees 68 degrees


            35         95
The Work: y=mx+b
95-68=27
           20 degrees 68 degrees


              35         95
The Work: y=mx+b
95-68=27
           20 degrees 68 degrees
35-20=15

              35         95
The Work: y=mx+b
95-68=27
             20 degrees 68 degrees
35-20=15
Rate=27/15
                35         95
The Work: y=mx+b
95-68=27
             20 degrees 68 degrees
35-20=15
Rate=27/15
                35         95
27/15=9/5
The Work: y=mx+b
95-68=27
             20 degrees 68 degrees
35-20=15
Rate=27/15
                35         95
27/15=9/5
y=9/5x+b
The Work: y=mx+b
95-68=27
                20 degrees 68 degrees
35-20=15
Rate=27/15
                   35         95
27/15=9/5
y=9/5x+b
95=9/5(35) +b   b=32
The Work: y=mx+b
95-68=27
                20 degrees 68 degrees
35-20=15
Rate=27/15
                   35         95
27/15=9/5
y=9/5x+b
95=9/5(35) +b   b=32
68=9/5(20) +b   b=32
rate base equation


y= 9/5x + 32

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Slope intercept

  • 1. Mr. Roberts Lunch Card How much will Mr. Roberts have after 14 days? I can calculate y=mx+b from just t wo points.
  • 2. What does the x intercept mean? What does the y intercept mean? $$$ days
  • 3. Ugh.... My paper is to short and I didn’t find the answer yet. There has to be a better way! I do remember my teacher saying something about base and rate...
  • 4. Use y=mx+b to calculate how much I have after 14 days. Be prepared to explain your reasoning to the class.
  • 5. Base rate / slope intercept y=mx+b y=rate(x) + base
  • 6. Start Up: I can write an equation using 2 points Homework out Write down Celsius Fahrenheit everything the X Y chart tells you and everything it does not tell you. Day 1 20 degrees 68 degrees Can you write an equation for this? Day 2 35 degrees 95 degrees If it is 21 degrees C, what temperature is it in Fahrenheit?
  • 7. Lets take a look at a easier example.
  • 8. What is the “per” (rate)? It is ALWAYS: Y/X Y PER X $$$ per day
  • 9.
  • 10.
  • 11.
  • 12.
  • 13. Write down how you find the equation if you are given t wo numbers. (24, 20) (27, 25)
  • 14. Start Up: I can write an equation using 2 points Homework out Write down Celsius Fahrenheit everything the X Y chart tells you and everything it does not tell you. Day 1 20 degrees 68 degrees Can you write an equation for this? Day 2 35 degrees 95 degrees If it is 21 degrees C, what temperature is it in Fahrenheit?
  • 15. Temperature is Linear! What is the conversion Equation? Celsius F= Fahrenheit X 99 Y 85 Day 1 20 degrees 68 degrees -47 -30 -56 Day 2 35 degrees 95 degrees 56 72 Day 3 -11 ?
  • 16. The Work: y=mx+b 20 degrees 68 degrees 35 95
  • 17. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35 95
  • 18. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 35 95
  • 19. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 Rate=27/15 35 95
  • 20. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 Rate=27/15 35 95 27/15=9/5
  • 21. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 Rate=27/15 35 95 27/15=9/5 y=9/5x+b
  • 22. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 Rate=27/15 35 95 27/15=9/5 y=9/5x+b 95=9/5(35) +b b=32
  • 23. The Work: y=mx+b 95-68=27 20 degrees 68 degrees 35-20=15 Rate=27/15 35 95 27/15=9/5 y=9/5x+b 95=9/5(35) +b b=32 68=9/5(20) +b b=32

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