HELP!! 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 16 minutes to
produce 5 items, which equation models this situation?

y = 3.2x

Step-by-step explanation:

A direct proportion equation has the form:

y = kx

Where “k” is the constant of proportionality.

Knowing that it takes 16 minutes to produce 5 items, you can find k by substituting 16 minutes and 5 items. Into the equation and solving for k:

y = 16
x = 5

16 = k(5)
k = 16/5

k = 3.2

Now substituting k into y = kx to find the equation that models this situation:

y = 3.2x