Tables
Linear or Exponential Model
Common Ratio
Common Difference
100

 Exponential or a linear?  Write the equation.

Linear; The y-values decrease (subtract) by 1 each time!

Equation: y=13-1x

100

Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.

Linear

100

The Common Ratio of the Sequence 2, 4, 8, 16, 32...

What is 2?

100

The Common Difference of -20, -23, -26, -29...

What is -3?

200

Exponential or a linear?  Write the equation.  

Exponential; the y-values double (multiply by 2) each time!

EQUATION: y = 2(2)^x

200

This is the model that best describes the following information. y = 17x

What is exponential?

200

The Common Ratio of -1/2, 1, -2, 4...

What is -2?

200

The Common Difference of -1.7, -2.0, -2.3, -2.6...

What is -0.3 ?

300

Exponential or a linear?  

Exponential; the y-values are multiplying by 6 each time!


300

This is the model that best describes the following information. {(1,8), (2,12), (3,16), (4,20), (5,24)}

What is linear?

300

The Common Ratio of the Sequence 3, 3, 3, 3...

What is 1?

300

The Common Difference of 18, 22, 26, 30...

What is 4?

400

Exponential or a linear?  Write the equation.

 n    t

 0    2

 1    14

 2    98

 3    686

 

Exponential because the constant ratio is 7.


EQUATION:   y = 2(7)^t

400

This is the model that best describes the following information. {(-1,-54), (0,-18), (1,-6), (2,-2), (3,-2/3)}

What is exponential?

400

The Common Ratio of the Sequence -3, -9, -27...

What is 3?

400

The Common Difference of 100, 131, 162, 193...

What is 31?

500

Exponential or a linear?  Write the equation.

 x       y 

 0       -6

 1       -9

 2      -12

 3      -15

Linear, because the constant difference is -3.

EQUATION: y = -3(x) -6 

500

A table that starts at 3 and doubles at each stage

What is exponential

500

These ordered pairs represent an exponential equation (-1, .5),(0,3),(1,18),(2,108). Find the common ratio.

What is 6

500

The Common Difference of 2.53, 2.56, 2.59, 2.62...

What is 0.03?