Find the function rule, show all work.

y = -5x - 1

Step-by-step explanation:

Note that as x increases from -2 to -1, y decreases from 9 to 4, a drop of 5.

Similarly, if x increases from 0 to 1, y decreases from -1 to -6, a drop of 5.

Thus, this table represents a decreasing linear function.

The slope of this line is m = rise / run = -5 / 1, or just -5.

Using the point-slope formula for the equation of a straight line:

y -k = m(x - h).  Here, the slope, m, is -5, and one point on the line is (0, -1).

Thus, we have y + 1 = -5(x - 0), or y = -5x - 1.

The "function rule" here is y = -5x - 1, a linear function.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.