Question

Identify the pattern in the table of data as linear, exponential, quadratic, or none of these.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answer 1

B. The model is exponential because the ratio between each pair of consecutive y-values is 5.

Step-by-step explanation:

The difference between two consecutive values of y is

2 - 2/5 = 8/5

10 - 2 = 8

50 - 10 = 40

250 - 50 = 200

Since, the ratio is not constant, the pattern is not lineal.

On the other hand, the ratio between consecutive values is

2/(2/5) = 5

10/2 = 5

50/10 = 5

250/50 = 5

Since all are equal to 5, the pattern is exponential.

Therefore, the answer is

B. The model is exponential because the ratio between each pair of consecutive y-values is 5.