The following box plot shows points awarded to dance teams that competed at a recent competition: box plot with number line titled Points with 0 as the minimum, 65 as quartile 1, 87 as the median, 95 as quartile 3, and 100 as the maximum

Which dot plot best represents the box plot data?

dot plot titled Dance Competition Points with Points on the x axis and Number of Teams on the y axis with 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100
dot plot titled Dance Competition Points with Points on the x axis and Number of Teams on the y axis with 1 dot over 0, 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100, 1 dot over 110
dot plot titled Dance Competition Points with Points on the x axis and Number of Teams on the y axis with 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100, 2 dots over 110
dot plot titled Dance Competition Points with Points on the x axis and Number of Teams on the y axis with 1 dot over 0, 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100

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.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

the correct option is b

step-by-step explanation: