During a storm, rain falls at a steady rate. When Michelle began keeping track of the total rainfall amounts, some rain had already collected in her collection bucket. Let t represent time in hours, and let r represent the number of inches of rain that fell.

Which sketch models this situation?

A: http://static.k12.com/calms_media/media/1512000_1512500/1512487/1/bd9267234c68fa9b7d12f156c884ce2223714f1a/MS_IMC_080714_130217.jpg

B: http://static.k12.com/calms_media/media/1512000_1512500/1512488/1/d844311d5ae6178481d491f4273008ded3031d62/MS_IMC_080714_130218.jpg

C: http://static.k12.co

D: http://static.k12.com/calms_media/media/1512000_1512500/1512490/1/3559300224b15495c6e3775b2dc62ee92262228f/MS_IMC_080714_130220.jpg

Question

During a storm, rain falls at a steady rate. When Michelle began keeping track of the total rainfall amounts, some rain had already collected in her collection bucket. Let t represent time in hours, and let r represent the number of inches of rain that fell.
 
Which sketch models this situation?

A: http://static.k12.com/calms_media/media/1512000_1512500/1512487/1/bd9267234c68fa9b7d12f156c884ce2223714f1a/MS_IMC_080714_130217.jpg

B: http://static.k12.com/calms_media/media/1512000_1512500/1512488/1/d844311d5ae6178481d491f4273008ded3031d62/MS_IMC_080714_130218.jpg

C: http://static.k12.co

D: http://static.k12.com/calms_media/media/1512000_1512500/1512490/1/3559300224b15495c6e3775b2dc62ee92262228f/MS_IMC_080714_130220.jpg

danjs · Answer

at time t=0, there was already some rain in the r, in the bucket

anonymous · Answer

okay

danjs · Answer

so on the graph, when t=0, the r value will not be zero
|dw:1419808160708:dw|

danjs · Answer

see that?

danjs · Answer

if there were zero rain at t=0, then it would have started at the origin

anonymous · Answer

how come it won't be zero?

danjs · Answer

When Michelle began keeping track of the total rainfall amounts, some rain had already collected in her collection bucket

danjs · Answer

"some rain had already collected in the bucket"

anonymous · Answer

how come that won't be zero if it didn't

danjs · Answer

"When she began"  means at time t=0

anonymous · Answer

oh

anonymous · Answer

okay sorry

danjs · Answer

you see why it starts at r>0  the rain is greater than zero

danjs · Answer

the dot is moved up some from the origin point

danjs · Answer

then, the other piece of information in the problem is:
rain falls at a steady rate

danjs · Answer

that means the graph will be linear, a line with a constant slope, no curves

danjs · Answer

sloped upwards, because the rain in the bucket is increasing over time

anonymous · Answer

oh okay

danjs · Answer

so overall, it should look like 

|dw:1419808449770:dw|

danjs · Answer

She already had some rain in the bucket when she began measuring, and the rain in the bucket increases at a constant rate over time

anonymous · Answer

oh

danjs · Answer

as time moves forward, the rain goes up

danjs · Answer

you get all of it , or which part is confusing?

anonymous · Answer

how does rain go up

danjs · Answer

if you had a cup outside during a storm, how will the amount of water inside the cup change over time

danjs · Answer

that is the r, vertical axis, the amount of rain in her bucket

anonymous · Answer

there will be water in it

anonymous · Answer

is it D?

danjs · Answer

|dw:1419808731752:dw|

danjs · Answer

during a storm, if you move horizontally into the future, the amount of rain will move vertically to more rain in the bucket

anonymous · Answer

i'm pretty sure it woulld go all the way up to 4 because it don't take long for the buket to be full

anonymous · Answer

bucket

anonymous · Answer

am i right?

danjs · Answer

they didnt give you a rate of the rainfall, just that it increases over time, you just have to know that the line will slope upwards, at any rate

danjs · Answer

the more towards vertical the line becomes, the harder it is raining outside,

anonymous · Answer

wait what!?

danjs · Answer

During a storm, rain falls at a steady rate. When Michelle began keeping track of the total rainfall amounts, some rain had already collected in her collection bucket. Let t represent time in hours, and let r represent the number of inches of rain that fell.

anonymous · Answer

what was she doing counting the rain drops?

danjs · Answer

That is all the information you are given, you can conclude 2 things from that. 

1) at the beginning time = 0, there is SOME rain in the bucket, that is why the point is starting at a positive value on the rain axis

2) the rain falls at a constant rate, the amount of rain in the bucket will be increasing as time goes on. the line slopes upwards

danjs · Answer

that is all you can tell

anonymous · Answer

so which graph is it?

danjs · Answer

It doesnt say anything , about how much rain is falling per minute, just that the amount of rain collected is increasing over time

anonymous · Answer

oh

anonymous · Answer

so C

danjs · Answer

The graph that starts at a point somewhere on the rain axis, and has a line that slopes up

anonymous · Answer

A?

danjs · Answer

i cant see, C the link is broken, but D is the one

anonymous · Answer

http://static.k12.com/calms_media/media/1512000_1512500/1512489/1/548942def7b252cfa096bfef77360d4129526f06/MS_IMC_080714_130219.jpg