Question

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

x (0, 1, 2)
y (3, 5, 7)
A) y = -2x
B) y = 2x
C) y = 2x + 3
D) y = 2x + 4

Answer 1

The equation that fits the data shown in the table is y = 2x + 3 (Option C).

Step-by-step explanation:

The equation that fits the data shown in the table is y = 2x + 3 (Option C).

To determine the equation that fits the data, we can compare the values of x and y in the table to the coefficients in each equation.

For option A, when x = 0, y = -2(0) = 0, which doesn't match the first data point y = 3.

For option B, when x = 0, y = 2(0) = 0, which doesn't match the first data point y = 3.

For option C, when x = 0, y = 2(0) + 3 = 3, which matches the first data point y = 3. When x = 1, y = 2(1) + 3 = 5, which matches the second data point y = 5. When x = 2, y = 2(2) + 3 = 7, which matches the third data point y = 7. Therefore, option C is the correct equation.

For option D, when x = 0, y = 2(0) + 4 = 4, which doesn't match the first data point y = 3.