Answer:
B. [tex]s=\dfrac{1}{4}\times420[/tex]
Step-by-step explanation:
Total number of students surveyed = 420
Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]
The number of students that prefer rap is 105
So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].