Sure, let's solve this step-by-step.
Firstly, let's find the total yards the running back gained. To do this, we add up all the individual yardages:
[tex]\[ 7 + (-5) + 4 + (-1) + 8 + (-3) + (-4) \][/tex]
Adding these values together, we determine:
[tex]\[
7 - 5 + 4 - 1 + 8 - 3 - 4 = 6
\][/tex]
So, the total yards gained by the running back is [tex]\(6\)[/tex].
Next, we need to find the average yards per carry. To do this, we take the total yards gained and divide it by the number of carries.
The number of carries is the number of yardages provided, which is [tex]\(7\)[/tex].
The average yards per carry is then calculated by:
[tex]\[
\frac{\text{Total yards}}{\text{Number of carries}} = \frac{6}{7}
\][/tex]
To get the average yards per carry to two decimal places:
[tex]\[
\frac{6}{7} \approx 0.86
\][/tex]
So, the average yards per carry is approximately [tex]\(0.86\)[/tex].
Therefore, the total yards for the running back was [tex]\(6\)[/tex] and his average yards per carry was [tex]\(\boxed{0.86}\)[/tex].
