3. Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between o and 14 minutes. Which of the following represents all times, 1, when both are in the oven at the same time? (1) 9SIS12 (3) 85IS14 (2) 851S14 (4) 12SIS14

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 29EQ
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2. Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between o
and 14 minutes. Which of the following represents all times, t, when both are in the oven at the same time?
(3) 8<1514
(1) 9<1512
(4) 12sts14
(2) 8st514
APPLICATIONS
4. A new office-residential building just opened in Lagrangeville and the contractor is monitoring the water
use. For the most part, water is used by the office between the hours of 7 AM-7 PM and the residential
section between 12AM-9 AM or 3PM- 12AM, including the endpoint times.
(a) Create a compound inequality writte
(residential and office) are using water at the same time. Graph the solution on the number line given.
Assume that 12 AM corresponds to zero and a time such as 3 PM correspónds to 15. As a start, it might
help to graph each individual section's water use and see where they overlap.
in interval notation that represents the hours that both sections
18
24
(b) If the water heater in the building cannot sustain more than 4 hours of use from both parties at the same
time, will there be a period of the day that cold water will start to be produced? Explain
REASONING
5. Aidan wrote the interval (-5, 4] and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.
-10
5.
10
Transcribed Image Text:2. Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between o and 14 minutes. Which of the following represents all times, t, when both are in the oven at the same time? (3) 8<1514 (1) 9<1512 (4) 12sts14 (2) 8st514 APPLICATIONS 4. A new office-residential building just opened in Lagrangeville and the contractor is monitoring the water use. For the most part, water is used by the office between the hours of 7 AM-7 PM and the residential section between 12AM-9 AM or 3PM- 12AM, including the endpoint times. (a) Create a compound inequality writte (residential and office) are using water at the same time. Graph the solution on the number line given. Assume that 12 AM corresponds to zero and a time such as 3 PM correspónds to 15. As a start, it might help to graph each individual section's water use and see where they overlap. in interval notation that represents the hours that both sections 18 24 (b) If the water heater in the building cannot sustain more than 4 hours of use from both parties at the same time, will there be a period of the day that cold water will start to be produced? Explain REASONING 5. Aidan wrote the interval (-5, 4] and claimed it was equivalent to the graph below. Explain what he did wrong and correct his mistake. -10 5. 10
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