Question

On a recent test, you were given the table displayed and

asked to write the rule that models it.
What should the rule be for the table?
O Subtract 6 from the x value to get the y value.
O Multiply the x value by 1/2 to get the y value.
O Multiply the x value by 1/4 to get the y value.
O Add 6 to the value to get the y value.

Answer 1

summing up what the other person said,

its a, i also did this on edge 2021,

so i can confirm:).

Answer 2

9514 1404 393

Answer:

A. Subtract 6 from the x value to get the y value.

Explanation:

Sometimes, it works well to simply try the answers to see what works. Sometimes, it works better to use a point other than the first or second.

Using the last point (x, y) = (16, 10), we can try the rules:

subtract 6 from x: 16 -6 = 10 . . . this rule works

multiply by 1/2: 16×1/2 = 8, not 10 . . . doesn't work

multiply by 1/4: 16×1/4 = 4, not 10 . . . doesn't work

add 6 to x: 16 +6 = 22, not 10 . . . doesn't work

The only rule that works is ...

Subtract 6 from the x value to get the y value.

_____

Additional comments

You cannot always assume the table represents a linear function. In this case, all of the answer choices are linear functions, so that is a reasonable assumption. The x-values all have the same difference: 4. The y-values also all have the same difference: 4. So the slope of the line is 4/4 = 1, which tells you right away that "multiply by 1/2" and "multiply by 1/4" will be wrong.

The x-values are all greater than the y-values, so "add 6 to the x value" will not be correct. Since the slope is 1, the difference between x and y will be a constant, easily found from any table entry.

y = x + b . . . . equation of a line with a slope of 1

2 = 8 + b . . . . using the first table entry

-6 = b . . . . . . . subtract 8

Then ...

y = x - 6