A table gives pairs (x, y): (1, 3), (2, 6), (3, 12), (4, 24). Which of the following models fits these data?

Question

Accepted Answer

A. y = 1.5(2)ˣ. y doubles for each step of 1 in x, and 1.5 × 2 = 3 at x = 1.

Answer

B. y = 3x — 3x gives 9 at x = 3, not 12.

Answer

C. y = 3x² — 3x² gives 12 at x = 2, not 6.

Answer

D. y = 2(1.5)ˣ — 2(1.5)ˣ gives 3 at x = 1 but 4.5 at x = 2.

Problem-Solving and Data Analysis practice question