Suppose you manage a juice factory. One of your machines fi lls 850 bottles
per minute. Each day it takes 30 min to get the machine started after an hour
for maintenance.
• Graph the number of bottles fi lled as a function of time that the
machine runs.
• Find the domain, range, and y-intercept of the graph. Interpret
these numbers.
• Write an equation for your graph

Question

Suppose you manage a juice factory. One of your machines fi lls 850 bottles
per minute. Each day it takes 30 min to get the machine started after an hour
for maintenance.
• Graph the number of bottles fi lled as a function of time that the
machine runs.
• Find the domain, range, and y-intercept of the graph. Interpret
these numbers.
• Write an equation for your graph

triciaal · Answer

30 mins to start and one hour for maintenance so for the first 90 minutes no production.
filling rate = 850 bottles / min 
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f(b) = 850(t) - 90 mins 
number of bottles filled = 850* time in minutes - 90 minutes