Question

. The town of Leander must drain a local water tank by opening a valve and letting the water flow through a pipe
into a nearby creek. The tank is currently at full capacity holding 34,440 gallons of water and the rate of flow of
the water from the tank with the valve opened is 1640 gallons per hour. Write an equation to describe the draining
of the water tank where y represents the volume in gallons of water remaining in the tank and x represents the
number of hours that have passed since the valve was opened. Choose the domain and the range that would best
apply to the situation.

Answer 1

how many gallons do we start with?

Answer 2

1640

Answer 3

no, that's how much is draining per hour

Answer 4

34400

Answer 5

3440

Answer 6

34,400 is how much we start with

Answer 7

every hour, we lose 1640 gallons

Answer 8

yes

Answer 9

let x = number of hours
y = number of gallons that are left

Answer 10

when x = 0, we have 34400 gallons (this is the amount we start with)

Answer 11

when x = 1, what is the number of gallons left?

Answer 12

1800

Answer 13

start with 34400

1 hour later, we have ______ gallons left

Answer 14

1800

Answer 15

no

Answer 16

remember you're losing 1640 gallons per hour

Answer 17

32760

Answer 18

start with 34400

you lost 1640 gallons

1 hour later, we have ______ gallons left

Answer 19

yes 32760

Answer 20

when x = 2, what is y?

Answer 21

31120

Answer 22

good

Answer 23

for hour 3, we lose yet another 1640 gallons

31120 - 1640 = 29480

Answer 24

and we keep this pattern up