Question

A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.



How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?



g = 480 – 5t

g = 15t



It will take______ minutes for both hot tubs to hold equal amounts of water. They will each hold_____gallons.

Answer 1

@perl

Answer 2

solve
480 - 5t = 15t
480 = 20t
t = 24 minutes
# gallons = 360

Answer 3

What?

Answer 4

@perl

Answer 5

24 minuets and 360 gallons

Answer 6

@perl

Answer 7

yes

Answer 8

OK :D,
Farrah needs an electrician and must decide between 2 companies. For a service visit, Company A charges $50 to send an electrician plus $40/h. Company B charges $60 to send an electrician plus $36/h. The graph that models this situation is shown here.



According to the graph, how long must each electrician work in order for the two to charge equal amounts?



hour(s)

Answer 9

http://static.k12.com/calms_media/media/1514000_1514500/1514177/3/ca91333a7cd287feb8c9dc093332a57ec62d7821/MS_IMC-1400806-100591.jpg

Answer 10

Thats the graph

Answer 11

@perl Help plz

Answer 12

Did you see the graph

Answer 13

yes
2.5 hours

Answer 14

ok now @perl ,
Paul’s Pool Service charges $340 to open a pool and charges $28 each week for pool maintenance. Nelson’s Pool Service charges $280 to open a pool and charges $32 each week for pool maintenance. The system that models this situation is given, where c is the cost of pool maintenance and w is the number of weeks.



c = 340 + 28w

c = 280 + 32w



The solution to the system is (15, 760).



Which interpretation correctly describes the solution to the system of equations?



A.


At 15 wk of pool cleanings, a customer will reach the maximum payment of $535.


B.


At 15 wk, the cost for pool maintenance is the same for both companies. Both companies will charge $760.


C.


Paul’s Pool Service charges more money in the fifteenth week by charging $760.


D.


Nelson’s Pool Service charges more money in the fifteenth week by charging $760.

Answer 15

@perl

Answer 16

@perl

Answer 17

@perl

Answer 18

@iGreen

Answer 19

@ganeshie8

Answer 20

@perl only 2 more

Answer 21

lol