Kelsey is playing a board game she gets to move ahead 2 spaces on three turns in a row and then on her forth turn she has to go back 4 spaces write an integer to represent her overall change in position

+2

Step-by-step explanation:

She moved 2 spaces on each of her first 3 turns, meaning she moved 6 spaces or a +6 gain.  Then she got pushed back 4 spaces, which makes a loss of 4, or -4.  (+6)+(-4)=2 or positive 2.

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 answer is simply just 6n add the two together as they have an n