The time (y) that it takes a machine to produce a batch of items is directly proportional to the number of items in the batch (x).if it takes 17 minutes to produce 5 items, which equation models this situation?

ANSWER

A. y=3.4x

EXPLANATION

It was given that, the time (y) is directly proportional to the number of items (x).

We can write this mathematically as:

If we introduce the constant of proportionality, we obtain;

If y=17 and x=5, then,

Hence the equation that models the situation is;

Option A

Step-by-step explanation:

A direct proportion equation has the form:

Where "k" is the constant of proportionality.

Knowing that it takes 17 minutes to produce 5 items, you can find k by substituting 17 minutes and 5 items  into the equation and solving for k:

Now, susbtitute k into to find the equation that models this situation:

anser is a

step-by-step explanation:

negitive slope