An employee at a refinery fills a water tank each day at around 8:00 am. Once the water level reaches 20 feet, the water stops flowing. The function M (x) gives the height of the water in the tank (in feet) on Monday based on x, the number of minutes after 8:00 am. The function T (x) gives the height of the water in the tank (in feet) on Tuesday based on x, the number of minutes after 8:00 am. A) Describe how the tank filling on Tuesday was like Monday and how it was different than Monday B) On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. The employee starts filling the tank at exactly 8:00 AM. Sketch a graph and write an equation for W(x), the height of the water in the tank on Wednesday based on x, the number of minutes after 8:00 AM.
An employee at a refinery fills a water tank each day at around 8:00 am. Once the water level reaches 20 feet, the water stops flowing. The function M (x) gives the height of the water in the tank (in feet) on Monday based on x, the number of minutes after 8:00 am. The function T (x) gives the height of the water in the tank (in feet) on Tuesday based on x, the number of minutes after 8:00 am. A) Describe how the tank filling on Tuesday was like Monday and how it was different than Monday B) On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. The employee starts filling the tank at exactly 8:00 AM. Sketch a graph and write an equation for W(x), the height of the water in the tank on Wednesday based on x, the number of minutes after 8:00 AM.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
An employee at a refinery fills a water tank each day at around 8:00 am. Once the water level reaches 20 feet, the water stops flowing.
The function M (x) gives the height of the water in the tank (in feet) on Monday based on x, the number of minutes after 8:00 am.
The function T (x) gives the height of the water in the tank (in feet) on Tuesday based on x, the number of minutes after 8:00 am.
A) Describe how the tank filling on Tuesday was like Monday and how it was different than Monday
B) On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. The employee starts filling the tank at exactly 8:00 AM.
Sketch a graph and write an equation for W(x), the height of the water in the tank on Wednesday based on x, the number of minutes after 8:00 AM.
Transcribed Image Text:An employee at a refinery fills a water tank each day at around 8:00 am. Once the water level reaches 20 feet,
the water stops flowing.
The function M(x) gives the height of the water in the tank (in feet) on Monday based on x, the number of
minutes after 8:00 am.
The function 7(x) gives the height of the water in the tank (in feet) on Tuesday based on x, the number of
minutes after 8:00 am.
water level
(feet)
22
20
18
16
14
12
10
8
6
4
2
8:00
M(x) = 5.√√x
MOT
10 20 30 40 50 60 70 80
minutes
W(x) =
b. On Wednesday, the employee gets a second
hose and is able to fill the tank twice as
fast as Monday. The employee starts
filling the tank at exactly 8:00 AM.
Sketch a graph and write an equation for
W(x), the height of the water in the tank on
Wednesday based on x, the number of
●
minutes after 8:00 AM.
water level
(feet)
22 T
20
18
16
14
water level
(feet)
12
10
8
6
4
2
0⁰
8:00
a. Describe how the tank filling on Tuesday was like Monday and how it was different than Monday
22 T
20
18
16
14
12
10
8
6
4
2
T(x) = 5√√x - 10
8:00
Ti(x)
10 20 30 40 50 60 70 80
minutes
10 20 30 40 50 60 70 80
minutes
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