Question

The local zoo has two water tanks for the elephant exhibit that are leaking One water tank contains 12 gal of water and is leaking at a constant rate of 3 gal/h. The second water tank contains 8 gal of water and is leaking at a constant rate of 5 gal/h. When will the two tanks have the same amount of water? Explain. Let x = the number of hours the tanks are filling and let y = the number of gallons in the tank.

Answer 1

A. In –2 hours, because the solution to the system is (–2,18).
B. They will never have the same amount of water because the solution to the system is (–2,18). It is not possible to have –2 gallons in the tanks.
C. They will never have the same amount of water because the solution to the system is (–2,18). It is not possible to have time be –2 hours.
D. In 2 hours, because the solution to the system is (2,18).

Answer 2

@uri @PinkSapphire @aaggaa @P0sitr0n

Answer 3

I would say B.

Answer 4

Can you elaborate

Answer 5

Oh wait its A.

Answer 6

explain ..

Answer 7

ok

Answer 8

Well I have an older cousin they are in an online school and I was helping her out we both thought it was B. and it turns out it was A. and I had a friend who the thought the same thing and asked on here too this is the link http://openstudy.com/study#/updates/50696207e4b06e532421feca

Answer 9

Well her choices are in a different order than mines so it would be D for me and I chose that the first time and it was wrong

Answer 10

"The local zoo has two water tanks for the elephant exhibit that are leaking One water tank contains 12 gal of water and is leaking at a constant rate of 3 gal/h"

so you start with 12 gallons

and each hour, you're losing 3 gallons, which means

hour1: 12 - 3*1 = 9
hour2: 12 - 3*2 = 6
hour3: 12 - 3*3 = 3

In general, at some unknown hour, t, you'll have 12 - 3t gallons left

Answer 11

Similarly, when they say "The second water tank contains 8 gal of water and is leaking at a constant rate of 5 gal/h"

this means the second tank will have 8 - 5t gallons of water after t hours

Answer 12

They ask "When will the two tanks have the same amount of water?"

so just set the two expressions equal to each other and solve for t

so you need to solve the equation

12 - 3t = 8 - 5t

Answer 13

t = 2

Answer 14

you sure? you should check your answer

Answer 15

you do so by plugging t = 2 back into the original equation

Answer 16

-2

Answer 17

12 - 3t = 8 - 5t

12 - 3(2) = 8 - 5(2) ... replace EVERY copy of t with 2

12 - 6 = 8 - 10

6 = -2 <--- is this true?

Answer 18

t = -2

Answer 19

do you see why t = 2 doesn't work?

Answer 20

yes it was a typo

Answer 21

yes, t = -2

Answer 22

what's the issue with saying t = -2?

Answer 23

A ?

Answer 24

does it make sense to have negative two hours?

Answer 25

no lol

Answer 26

so C ?

Answer 27

correct, the two tanks will never have the same volumes at any given time

Answer 28

Thank you so much !

Answer 29

you're welcome

Answer 30

Hey Shay Sorry I didn't answer correctly or give a good explanation.

Answer 31

It's okay