Question

Which of the following equations fits the data shown in the table?

x (0, 1, 2)
y (3, 5, 7)
1.y= -2r
2.y=2r
3.y=2r+3
4.y= -2r+3
explain how u got the answer. and pick which number

Answer 1

The equation that fits the given data with x values (0, 1, 2) and y values (3, 5, 7) is y = 2x + 3, since it correctly outputs the y values for the corresponding x values.

Step-by-step explanation:

To determine which equation fits the data shown in the table where x values are (0, 1, 2) and y values are (3, 5, 7), we need to check each equation against the points provided.

Let's analyze the given equations:

1. y = -2x
2. y = 2x
3. y = 2x + 3
4. y = -2x + 3

We are looking for a linear relationship where, as x increases, y also increases. This suggests we can eliminate options 1 and 4 because the negative coefficient would cause y to decrease as x increases.

Looking at option 2 (y = 2x), when x = 0, y would be 0, which does not match the given data. So, this equation is not a fit.

Now checking option 3 (y = 2x + 3), we can test the points:

• When x = 0, y = 2(0) + 3 = 3
• When x = 1, y = 2(1) + 3 = 5
• When x = 2, y = 2(2) + 3 = 7

All points given in the table match the equation y = 2x + 3, making option 3 the correct choice.