Answer:
[tex]\large\boxed{D)\ \dfrac{9}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{5(p-1)}{4}-1=0\qquad\text{add 1 to both sides}\\\\\dfrac{5(p-1)}{4}-1+1=0+1\\\\\dfrac{5(p-1)}{4}=1\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\dfrac{5(p-1)}{4\!\!\!\!\diagup_1}=4\cdot1\\\\5(p-1)=4\qquad\text{use distributive proeperty}\\\\5p-5=4\qquad\text{add 5 to both sides}\\\\5p=9\qquad\text{divide both sides by 5}\\\\p=\dfrac{9}{5}[/tex]
