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:

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval