Question

Use the data sets to answer the question.

Data Set A: (0,2)
, (1,4)
, (2,8)
, (3,16)
, (4,32)
, (5,64)


Data Set B: (3,4)
, (4,6)
, (5,8)
, (6,10)
, (7,12)


Data Set C: (0,1)
, (3,3)
, (6,9)
, (9,27)
, (12,81)


Data Set D: (2,4)
, (−1,2)
, (7,16)
, (−4,32)
, (1,64)


Create a scatterplot for each of the data sets shown. Which data set can reasonably be modeled by a linear relationship?

(1 point)
Responses

Data Set D
Data Set D

Data Set A
Data Set A

Data Set B
Data Set B

Data Set C

Answer 1

Data Set B

Reason: The points in B (3,4), (4,6), (5,8), (6,10), (7,12) lie on a straight line (y = 2x − 2). The other sets show exponential or non-linear patterns.