The number of math problems solved in a class,?, varies directly with the length of time x and inversely with the number of student questions in that time y. If in 6 minutes of class there were 14 student questions and a total of 5 problems that were solved, then write? as a function of x and y.? = x/y function equation editor

Question

Mathematics

Kylan Hall

3 November, 10:43

The number of math problems solved in a class,?, varies directly with the length of time x and inversely with the number of student questions in that time y. If in 6 minutes of class there were 14 student questions and a total of 5 problems that were solved, then write? as a function of x and y.? = x/y function equation editor

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Answers (1)

Know the Answer?

Gisselle Chaney · Answer 1

n = 35y/3x

Step-by-step explanation:

Let the number of problems solved be n.

Now what do we know?

The value n varies directly with the length of time x and inversely with the number of students question in that time y.

Let's use a constant of proportionality k, the following observations are made:

ny/x = k

or ny = kx

Now let's get the value for k

k = ny/x = (5 * 14) / 6 = 70/6 = 35/3

now, inserting the value of k into the equation.

n = ky/x = 35y/3x