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QuestionA running back carried the ball for yardages 4,−3,2,−1,5,−2,−24, -3, 2, -1, 5, -2, -2. Find his total yards and average yards per carry.
The total yards for the running back was 33. His average yards per carry was 37\frac{3}{7}.

Studdy Solution

STEP 1

Assumptions
1. The running back carried the ball for yardages of 4,−3,2,−1,5,−2,4, -3, 2, -1, 5, -2, and −2-2.
2. Total yards is the sum of all individual yardages.
3. Average yards per carry is the total yards divided by the number of carries.

STEP 2

Calculate the total yards by adding all the individual yardages together.
Total yards=4+(−3)+2+(−1)+5+(−2)+(−2)Total\, yards = 4 + (-3) + 2 + (-1) + 5 + (-2) + (-2)

STEP 3

Perform the addition to find the total yards.
Total yards=4−3+2−1+5−2−2Total\, yards = 4 - 3 + 2 - 1 + 5 - 2 - 2

STEP 4

Combine the positive and negative numbers separately.
Total yards=(4+2+5)−(3+1+2+2)Total\, yards = (4 + 2 + 5) - (3 + 1 + 2 + 2)

STEP 5

Calculate the sums of the positive and negative numbers.
Total yards=11−8Total\, yards = 11 - 8

STEP 6

Subtract the sum of the negative numbers from the sum of the positive numbers to get the total yards.
Total yards=11−8=3Total\, yards = 11 - 8 = 3

STEP 7

To find the average yards per carry, divide the total yards by the number of carries. The number of carries is the total number of yardages given.
Number of carries=7Number\, of\, carries = 7

STEP 8

Now, calculate the average yards per carry.
Average yards per carry=Total yardsNumber of carriesAverage\, yards\, per\, carry = \frac{Total\, yards}{Number\, of\, carries}

STEP 9

Plug in the values for the total yards and the number of carries to calculate the average yards per carry.
Average yards per carry=37Average\, yards\, per\, carry = \frac{3}{7}

STEP 10

Perform the division to find the average yards per carry.
Average yards per carry=37≈0.42857Average\, yards\, per\, carry = \frac{3}{7} \approx 0.42857

STEP 11

Round the result to two decimal places as needed.
Average yards per carry≈0.43Average\, yards\, per\, carry \approx 0.43
The total yards for the running back was 33. His average yards per carry was 0.430.43.

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