Show:
Sequences
Linear or Exponential?
Equations
Inequalities
What is the equation?
100

46, 51, 56, 61, ?

66

100

Linear or Exponential?  Why?

1, 2, 4, 8, ...

Exponential

Multiply by 2  (por 2)

100

4x + 2 = 10     x = ?

4x + 2 = 10

      4x = 8

        x = 2

100

Is x = 2 a solution ?

4x > 5

4x > 5

4(2) > 5

8 > 5  Yes

100

What is the equation?

f(x) = b + mx

2, 5, 8, 11, ...

f(x) = 2 + 3x

200

81, 78, 75, 72, ?

69

200

Linear or Exponential?  Why?

50, 40, 30, 20, ...

Linear

Subtract 10  (menos 10)

200

-4x + 2 = 10     x = ?

-4x + 2 = 10    

 -4x = 8

    x = -2

200

Is x = 5 a solution?

9x + 1 < 40

9x + 1 < 40

9(5) + 1 < 40  ?

45 + 1 < 40

46 < 40   No!

200

What is the equation?

f(x) = a(b)x

2, 6, 18, 54, ...

f(x) = 2(3)x

300

-3, -6, -9, -12, ?

-15

300

Linear or Exponential?  Why?

200, 100, 50, 25, ...

Exponential

multiply by 0.5  (por 0.5)

300

3x + 5x = 16     x = ?

3x + 5x = 16

        8x = 16

          x = 2

300

Is x = 0 a solution?

-234x + 5 > 3

-234x + 5 > 3

-234(0) + 5 > 3   ?

0  +  5  >  3

5 > 3     Yes!

300

What is the equation?

15, 20, 25, 30, ...

f(x) = 15 + 5x

400

3, 6, 12, 24, ?

48

400

Linear or Exponential?

f(x) = 8 + 3x 

Linear

+  (mas)

400

9x - 6x + 5 = 8       x = ?

9x - 6x + 5 = 8

       3x + 5 = 8

        3x   =  3

          x = 1

400

Is x = -1 a solution?

4x > 4

    4x > 4

4(-1) > 4

   -4  >  4    No!

400

What is the equation?

4, 8, 16, 32, 64, ...

f(x) = 4(2)x

500

1200, 600, 300, 150, ?

75

500

Linear or Exponential?

f(x) = 3(2)x

Exponential

(2) multiply (por)

x is an exponent


500

24 = 12 - 6x     x = ?

24 = 12 - 6x

12 = -6x

-2 = x

500

Is x = -3 a solution?

-2x + 1 > 7

   -2x + 1 > 7

-2(-3) + 1 > 7

       6 + 1 > 7

             7 > 7   No!

500

What is the equation?

100, 50, 25, 12.5, ...

f(x) = 100(0.5)x