Which of the following describes the function shown in the table below? x
y
-4
16
-1
2
2
0.25
4
0.0625
5
0.03125
exponential, there is a constant rate of growth
exponential, there is a constant rate of decay or decrease
quadratic, there is a second degree change in the y-values
quadratic, there is a constant difference between consecutive y-values

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the square root of what number? if you add that, then someone will probably answer the question.

c > -10.55

step-by-step explanation: