There were 512 cups of water in a cooler before a soccer game. after the soccer game there were 384 cups of water in the cooler. there are 16 cups in a gallon. which one of the following statements is true? a. the quotient 512/16 = 32 means that 32 gallons of water were used during the soccer game. b. the quotient 384/16 = 24 means that 24 gallons of water were used during the soccer game. c. the quotient 128/16 = 8 means that 8 gallons of water were used during the soccer game. d. the quotient 384/512 = 3/4 means that 3/4 gallon of water was used during the soccer game.

C

Step-by-step explanation:

you need to find how many cups of water were used in the game:

512-384=128

and then you can begin to calculate the number after that:

128/16=8(gallons)

hope it'll help! have a good day!

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer