Question

The running back for the Bulldogs football team carried the ball 5 times for a total loss of 8 34 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.

Answer 1

The running back for the Bulldogs football team carried the ball 5 times for a total loss

$8\frac{3}{4}\text{ yards}$

It should be noted that the total loss is always negative.

Now,

$\begin{gathered} A\text{verage Change}=\frac{Total\text{ loss}}{Number\text{ of runs}} \\ =\frac{-8\frac{3}{4}}{5} \\ =-\frac{35}{4}\times\frac{1}{5} \\ =-\frac{7}{4} \\ =-1\frac{3}{4} \end{gathered}$

So, the average change is

$-1\frac{3}{4\text{ }}\text{ yards}$