employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The function M models the height of the water in the tank, M(x), in inches, x seconds after 12:00 p.m. on Monday as it fills. The function 7 gives the right of the water in the tank, 7(x), in inches, x seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T. M(x) - 5√ T(x) = 5√√x-10 22 20 18 16 14 12 50 B 10 MOX 30 40 50 60 70 80 time (seconds) 22 20 18 16 14 12 10 B 6 4 TO 10 20 30 40 50 60 70 80 time (seconds) On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00p.m. The function W models the height of the water in the tank, W(x), in inches, x seconds after 12:00 pm as It fills. What would the graph look like, and what would be the algebraic equation for W? O The graph would look like the original graph, but be squashed horizontally. The equation is W (a) = 52. O The graph would look like the original graph, but be compressed vertically. The equation is W () = 52. The graph would look like the original graph, but be squashed horizontally. The equation is W (z) − − √7. The graph would look like the original graph, but he compressed vertically. The equation is W (r) V
employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The function M models the height of the water in the tank, M(x), in inches, x seconds after 12:00 p.m. on Monday as it fills. The function 7 gives the right of the water in the tank, 7(x), in inches, x seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T. M(x) - 5√ T(x) = 5√√x-10 22 20 18 16 14 12 50 B 10 MOX 30 40 50 60 70 80 time (seconds) 22 20 18 16 14 12 10 B 6 4 TO 10 20 30 40 50 60 70 80 time (seconds) On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00p.m. The function W models the height of the water in the tank, W(x), in inches, x seconds after 12:00 pm as It fills. What would the graph look like, and what would be the algebraic equation for W? O The graph would look like the original graph, but be squashed horizontally. The equation is W (a) = 52. O The graph would look like the original graph, but be compressed vertically. The equation is W () = 52. The graph would look like the original graph, but be squashed horizontally. The equation is W (z) − − √7. The graph would look like the original graph, but he compressed vertically. The equation is W (r) V
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 31PPS
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Transcribed Image Text:e at a danden center fills a water tank once a day around noon to a helght of 20 inches. The function M models the height of the water in the tank, M(x), in inches, x seconds after 12:00 p.m. on Monday as it fills. The fiunction T atves rhe
ht of the water in the tank, T(x), in inches, x seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T.
Mx) - 5
Tx) = 5V- 10
22
20
20
18
18
16
MO
16
12
12
10
10 20 30 40
10 20 30 40 50 60 70 80
time (seconds)
time (seconds)
On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00 p.m. The funetion Wmodels the helght of the water in the tank, W(x), in inches, x seconds after 12:00 pm as jt
fillis. What would the graph look like, and what would be the algebraic equation for W?
O The graph would look like the original graph, but be squashed horizontally. The equation is W () = 52.
O The graph would look ike the original graph, but be compressed vertically. The equation is W () = 5 2.
O The graph would look like the original graph, but be squnshed horizontally. The equation is W () = - V
O The graph would look like the original graph, but be compressed vertically. The equation is W.() =
INTL 3:28
DELL
DII
(sapu a
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