Answer:
"t varies directly as the number of problem (p) and inversely aa the number of students (s) working to solve the problem."
It can also be written as:
[tex]t = \frac{kp}{s} [/tex]
t= time
p= number of problems
s= number of students working to solve the problem
Where k is the constant variable
First let's solve for the k
Simplfy,
[tex]30 = \frac{k(15)}{5} [/tex]
[tex]30 = 3k[/tex]
Divide both sides by 3
[tex] \frac{30}{3} = \frac{3k}{3} [/tex]
So,
[tex]k = 10[/tex]
Now we have the value of k,
The eqution of variation is:
[tex]t = \frac{10(p)}{s} [/tex]
We can now solve for the value of t
Substitute the values,
[tex]t = \frac{10(20)}{8} [/tex]
[tex]t = \frac{200}{8} [/tex]
[tex]t = 25[/tex]
So, t = 25
Therefore, it takes 25 minutes for 8 students to answer 20 problems.
Step-by-step explanation:
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