Question

One of your machines fills 850 bottles per minute. Each day it tales 30 minutes to get the machine started after an hour of maintenance. Graph the number of bottle filled as a function of time that the machine runs. Find the domain, range, and y-intercept of the graph. Interpret these numbers and write an equation for the graph.
* I need help please, just on this question. :(

Answer 1

The equation would be

y = 850(x - 90)

Where x > 90
x = minutes per day
y = number of bottles after x minutes

The equation represents how many bottles can be filled per day after accounting for the 90 minutes required for maintenance and upstart. So basically x starts at 91 or 91st minute

Answer 2

Thank you so much. I'm not good at this stuff one bit. Do you know the domain and range? Also how I could graph it?

Answer 3

Points are:
time 0 through time 60, zero bottles filled due to maintenance

plot (0,0) to (30,0)

time 61-90, machine is getting started, zero bottles. (61,0) through (90,0)

Then for every minute after (90,0), bottle total increases by 850,
(91,850)
(92,1700)
(93,2550)
(94, 3400)
and so on

Answer 4

The domain is x > 90
The range is y > 0