In football, negative numbers represent yards lost on a play, and positive numbers represent yards gained on a play. Which shows the plays in order from greatest number of yards gained to the least number of yards gained?
Play | Yards
1 | -5
2 | 12 1/2
3 | -8 1/2
4 | - 8.25
a. 1,2,3,4
b. 2,1,3,4
c. 2,1,4,3
d. 2,3,4,1
I also need help with that
plot the values on the number line, and it becomes easy.
To determine the order of plays from the greatest number of yards gained to the least number of yards gained, let's convert all the yards to positive values:
Play 1: -5 yards (converted to positive = 5 yards)
Play 2: 12 1/2 yards
Play 3: -8 1/2 yards (converted to positive = 8 1/2 yards)
Play 4: -8.25 yards (converted to positive = 8.25 yards)
Now, let's order these values from greatest to least:
12 1/2 (Play 2)
8 1/2 (converted from -8 1/2, Play 3)
8.25 (converted from -8.25, Play 4)
5 (converted from -5, Play 1)
Therefore, the correct order is:
b. 2,1,3,4
To determine the order of plays from the greatest number of yards gained to the least number of yards gained, we need to compare the absolute values of the yardages.
First, let's convert the mixed numbers into decimals for easier comparison:
-5, 12.5, -8.5, -8.25
To find the absolute values, we remove the negative signs:
5, 12.5, 8.5, 8.25
Now, let's order them from greatest to least:
12.5, 8.5, 8.25, 5
Looking at the options provided:
a. 1, 2, 3, 4 (incorrect, this order is from least to greatest)
b. 2, 1, 3, 4 (incorrect, this order is not from greatest to least)
c. 2, 1, 4, 3 (incorrect, this order is not from greatest to least)
d. 2, 3, 4, 1 (incorrect, this order is not from greatest to least)
None of the given options are correct. The correct answer is:
Plays ordered from greatest number of yards gained to the least number of yards gained:
2, 1, 4, 3
Therefore, the correct answer is option c. 2, 1, 4, 3.