Annj78797idn
Answered

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the number of minutes (t) to solve a set of variation prooblems varies directly as the number of problem (p) and inversely as the number of students (s) working to solve the problem. it takes 30 minutes for 5 students to solve 15 problema. how long ill it takesfor 8 students to answer 20 problems?
a. 15 minutes
b. 20 minutes
c. 25 minutes
d. 30 minutes​

Sagot :

Tristanniegasidn

Answer:

letter c po yan po kase sagot ko

Aishaaa96idn

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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