Which of the following quantities are directly proportional?

is this proportional?

the area of a rectangle and its length, if its width is 6 cm.
pls

Step-by-step explanation:

The area of a rectangle is

Where is length and is width.

Now, if its width is 6 cm, then

Now, this equation states that the area of the rectangle and its length are directly proportional, because if we increase the length, then the area will be also increased. Remember that a direct proportion between two magnitudes is where they both increase or decrease at the same time.

Therefore, they are directly proportional.

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.