Step 1
Convert mixed numbers to an improper fractions
[tex]4\frac{1}{2} =\frac{4*2+1}{2}= \frac{9}{2}[/tex]
[tex]1\frac{1}{2} =\frac{1*2+1}{2}= \frac{3}{2}[/tex]
Step 2
Find the unit rate of the descending
[tex]unit\ rate= \frac{(9/2)}{(3/2)}=3 \frac{inches}{sec}[/tex]
therefore
the answer is
the position of the spider relative to the surface after [tex]1[/tex] second is [tex]-3\ inches[/tex]
