Question

A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.

Which sketch represents this situation?

https://gyazo.com/e92bd54b2b703a2da030d2affadcacfa

Answer 1

They started at time 0 with 30 gallons.
This could mean point (0, 30) or point (30, 0).
Point (0, 30) means that at time 0, they still have 30 gallons.
Point (30, 0) means that when they have 30 gallons, they are at time 0.

Do you see any graphs that include point (0, 30) or (30 ,0)?

Answer 2

B and D have both

Answer 3

Look carefully.
First we need to agree what to call the options.

Answer 4

A and B have (0, 30)
C and D have (30, 0)

Answer 5

no no i didnt mean D I meant B and C lol

Answer 6

Are you using A, B, C, and D as I drew above?
I want to make sure when we say option B we both understand which one we mean.

Answer 7

yes

Answer 8

Look at each graph.
Notice they all have hours along the x-axis, and gallons remaining along the y-axis.

Answer 9

ok

Answer 10

Since they are all graphed that way, with hours being x and gallons remaining being y,
that tells us what the first point must be.
When they are just about to start painting, 0 time has gone by, and they have all 30 gallons of paint.
That means you must have point (0, 30) in the graph.
Which graphs have pint (0, 30)?

Answer 11

^point (0, 30)

Answer 12

a and b