8
algebra

Which equation best models the data: (1,2),(2,4),(3,6),(4,8)(1, 2), (2, 4), (3, 6), (4, 8)?

A

y=2xy = 2x

B

y=x+1y = x + 1

C

y=2x+1y = 2x + 1

D

y=x2y = x^2

Correct Answer: A

Choice A is the correct answer. Check the pattern.

  1. Pattern: y is always double x.
  2. Slope: 4221=2\frac{4-2}{2-1} = 2.
  3. Intercept: If slope is 2 and passes through (1,2)(1, 2), then 2=2(1)+bb=02 = 2(1) + b \rightarrow b=0.
  4. Equation: y=2xy = 2x.

💡 Strategic Tip: Perfect linear correlation.

Choice B is incorrect because fails (2,4)(2,4). Choice C is incorrect because fails (1,2)(1,2). Choice D is incorrect because fails (3,6)(3,6) (32=93^2=9).

Choice A is correct.