Stacy is filling up water balloons for her birthday party at the park. This list shows how much water she put in each water balloon. Amount of water (cups) 1 1 2 1 1 4 1 1 1 4 1 3 4 1 1 4 1 1 1 4 1 1 4 1 1 2 1 3 4 Use the data in the list to complete the line plot below. Click to select the X's. To clear a column, click on the number line below it. Amount of water If you combine all the water from the water balloons that have exactly 1 1 4 cups, how much water will you have in all? Write your answer as a fraction, mixed number, or whole number. cups

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

a

step-by-step explanation: