Answer
16 ft-lbs
Work Step by Step
Given the force $F = 4i - 7j$ and $D = 4i$
The question asks for the work done in foot-pounds.
Work is equal to the dot product of the Force Vectors and Distance Vectors
$W = <4, 7> * <4, 0>$
$4 * 4 + 7 * 0$
$16 ft-lbs$