Question

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 600 liters in the pond to start.

Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T , and then graph your equation using the axes below.

Answer 1

@wio a little help?

Answer 2

@dan815 could you help?

Answer 3

I want you to try on your own first.

Answer 4

I don't know how to do it! D: I need more of an explanation than anything else @wio

Answer 5

What do you think the slope is?

Answer 6

30/600 @wio

Answer 7

That isn't it.

Answer 8

After a minute, how many liters has it increased?

Answer 9

30 so 1/30? or 30/1? @wio

Answer 10

30/1

Answer 11

@wio okay

Answer 12

Do you remember the equation of a line, the slope intercept form?

Answer 13

@wio y=mx+b?

Answer 14

What is the intercept?

Answer 15

600? @wio

Answer 16

Yes, so what is the equation of the line?

Answer 17

y=30/1+600 @wio

Answer 18

What happened to \(x\)?

Answer 19

By the way 30/1 = 30, they're the same thing.

Answer 20

So, putting in the \(x\), what is the equation?

Answer 21

y=30/1x+600 sorry I always forget the x @wio

Answer 22

Okay, but don't write the "/1" you don't need it.

Answer 23

whoops sorry @wio

Answer 24

y=30x+600

Answer 25

They want us to use W and T, so we have: \[
W=30T+600
\]

Answer 26

@wio could you help me graph it?

Answer 27

Okay.

Answer 28

Start out drawing your coordinate plane.

Answer 29

@Mertsj can I get a mod up on here to remove this guy?^

Answer 30

@wio

Answer 31

@wio

Answer 32

ok

Answer 33

Do you know how to plot a point?

Answer 34

yes we can use (0.600) right?

Answer 35

Yes

Answer 36

What is W when T is 1?

Answer 37

0?

Answer 38

@wio

Answer 39

Nope, \[
W=30(1)+600
\]

Answer 40

okay w=630

Answer 41

So what point does that make?

Answer 42

@Callisto can you help with withyourdestiny?

Answer 43

(630,0)?

Answer 44

@wio

Answer 45

Nope, it is (1, 630)

Answer 46

So graph that point.

Answer 47

okay, @wio

Answer 48

did it @wio

Answer 49

Take a ruler between both points.

Answer 50

Then draw a line!

Answer 51

@wio

Answer 52

@wio