Question

The table represents a linear function. Find the missing values to complete the table.

a) x = 1, y = 41/3
b) x = 1, y = 46/3
c) x = 2, y = 41/3
d) x = 2, y = 46/3

Answer 1

To calculate the missing y values for a given x in the linear equation y = 9 + 3x, substitute the x values and solve for y. However, the provided y values (41/3, 46/3) do not match the results from the equation when x is 1 or 2.

Step-by-step explanation:

Finding Missing Values in a Linear Function Table

To find the missing values for the linear function y = 9 + 3x, we simply plug in the given x values and solve for y. This linear equation represents a line with a slope (m) of 3 and a y-intercept (b) of 9. To construct a table of values, we calculate y for each x provided.

For x = 1, the equation becomes y = 9 + 3(1), which simplifies to y = 12. Thus, the missing y value for a) is 12.

For x = 2, the equation becomes y = 9 + 3(2), which simplifies to y = 15. Thus, the missing y value for b) and c) is 15.

However, in the given options, none of the y values match 12 or 15 when x is given as 1 or 2, respectively. There might be a mistake in the options provided since they do not correspond to the linear equation y = 9 + 3x.