Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between 9 and 14 minutes. Which of the following represents all times, t, when both are in the oven at the same time? (1) 9

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between 9
and 14 minutes. Which of the following represents all times, t, when both are in the oven at the same time?
(1) 9<t<12
(3) 8<t<14
(2) 8<1514
(4) 12<tS14
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 written in interval notation that represents the hours that both sections
(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.
12
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
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
10
Transcribed Image Text:Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between 9 and 14 minutes. Which of the following represents all times, t, when both are in the oven at the same time? (1) 9<t<12 (3) 8<t<14 (2) 8<1514 (4) 12<tS14 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 written in interval notation that represents the hours that both sections (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. 12 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 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 10
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