Question

Which equation represents the data shown in the table provided in the image?

A. y = 2x + 1

B. y = 3x — 1

C. y = 2.5x

D. y = 2.5x + 1

Please include ALL work! <3

Answer 1

The correct answer is A. y = 2x +1

Step-by-step explanation:

An equation is a statement that shows equality. In this context, the equation should lead to two equal numbers even if the values of y and x change. In this context, the correct equation is y= 2X + 1 because this is the only one, in which, the value of Y is always equivalent to 2x + 1. To prove this, let's replace y and x for the values of the table.

First column

5 = 2 · 2 + 1

5 = 4 + 1

5 = 5

Second Column

9 = 2 · 4 + 1

9 = 8 + 1

9 = 9

Third column

13 = 6 · 2 + 1

13 = 12 + 1

13 = 13

Fourth column

17 = 8 · 2 + 1

17 = 16 + 1

17 = 17