Math

QuestionDetermine which equation fits the pairs of (x,y)(x, y): (1, 5), (2, 7), (3, 9), (4, 11). Options: A) y=2x+3y=2x+3, B) y=3x2y=3x-2, C) y=4x1y=4x-1, D) y=5xy=5x.

Studdy Solution

STEP 1

Assumptions1. The table provides pairs of x and y values. . We are looking for an equation that represents the relationship between x and y.
3. The relationship is linear, as suggested by the options provided.

STEP 2

We need to test each equation with the pairs of x and y values from the table to see which one fits. We'll start with option A y=2x+y=2x+.

STEP 3

Let's plug in the first pair of values, x=1 and y=5, into the equation.
y=2x+3y =2x +35=2(1)+35 =2(1) +3

STEP 4

Calculate the right side of the equation.
=2+3= =2 +3 =

STEP 5

Since the left side equals the right side, the first pair of values fits the equation. We need to test the other pairs to be sure.

STEP 6

Plug in the second pair of values, x=2 and y=, into the equation.
y=2x+3y =2x +3=2(2)+3 =2(2) +3

STEP 7

Calculate the right side of the equation.
7=4+3=77 =4 +3 =7

STEP 8

Since the left side equals the right side, the second pair of values also fits the equation. We need to test the remaining pairs to be sure.

STEP 9

Continue this process for the remaining pairs. If all pairs fit the equation, then the equation represents the relationship between x and y.

STEP 10

After testing all pairs, we find that all pairs fit the equation y=2x+3y=2x+3. Therefore, the equation that represents the relationship between x and y is y=2x+3y=2x+3.
The correct answer is A) y=2x+3y=2x+3.

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