Answer
(a) See table
(b) See graph
(c) The force necessary to stretch the spring $10$ inches is $12.5$ pounds.
Work Step by Step
(a)
Substitute $x=0$ into the equation:
$$F=\frac{5}{4}(0)=0$$
Similarly, other ordered pairs are as shown in the completed table.
(b) The sketch of the graph of the model is as shown.
(c) From the graph as shown, the force necessary to stretch the spring $10$ inches is $12.5$ pounds.