(Solved): The total weight of a rope and spool depends on the length of rope on the spool. The graph below s ...

The total weight of a rope and spool depends on the length of rope on the spool. The graph below shows that when 5 feet of rope is on the spool, the total weight of the spool and rope is \( 3.95 \) pounds. The rope weighs \( 0.27 \) pounds per a. If the length of rope on the spool increases from 5 feet to \( 8.4 \) feet, what is the change in the number of feet of rope on the spool? b. Using a vector, represent this change in length of rope on the graph below. (Hint: draw a horizontal vector that starts at the point on the graph.) c. How much does the total weight of the spool and rope change when the length of rope increases by the number of feet in part (a)? d. Using a vector, represent this change in the weight of the spool and rope on the graph in part (b). e. How many pounds does the spool alone weigh?