Answer
The graphs are shown below:
Work Step by Step
Use the steps given below:
Step 1:
Press the $\left[ Y= \right]$ key.
Step 2:
Enter the equations in ${{Y}_{1}}\,,{{Y}_{2}},\,\text{ and }\,{{Y}_{3}}$ , where ${{\text{Y}}_{\text{1}}}=kx,\,{{\text{Y}}_{2}}=\frac{k}{{{x}^{2}}},\,\text{ and }\,{{Y}_{3}}=k{{x}^{2}}.$
Step 3:
Press $\left[ WINDOW \right]$ key.
Step 4:
Enter a number in $TblStart$ and then press $\left[ ENTER \right]$.
Step 5:
Enter a number in $\Delta \text{Tbl}$ and then press $\left[ ENTER \right].$
Step 6:
Set the mode for Independent and Depend.
Step 7:
Press $\left[ GRAPH \right]$ key to display the table.
(a) The solution of the provided equation $T=kB$ is $5.4\text{ft}$ because at $k=0.9,$ we get $5.4\text{ft}$ as the tail length of an alligator whose body length is $\text{6 ft}$.
(b) The solution of the provided equation $I=\frac{k}{{{a}^{2}}}$ is $2.4\text{ft}$ because at $k=6000,$ we get $2.4\text{ft}$ as the illumination when the distance is $50\ \text{ft}$.
(c) The solution of the provided equation $N=k{{d}^{2}}$ is $450$ because at $k=0.5,$ we get $450$ as houses that can be served by a water pipe that has a $30\text{cm}$ diameter.
