Zoe and nora each have a pail with a small
amount of water in it. each girl slowly begins
to add water to her pail. the table describes the
cups of water y in zoe's pail as a linear
function of the time x that she spends filling it.
the graph describes the cups of water as a
function of time that nora spends filling her
pail. is zoe or nora filling her pail at a faster
rate? explain.
zoe's pail
x in minutes) 1 2 3 4
ly in cups) 5.7 | 7.5 | 9.3
nora's pail
amount of water (in cups)
1
2 3 4
time (in minutes)
5
x

Zoe's pail is filling faster

Step-by-step explanation:

We can find the slope for the table

m = (y2-y1)/(x2-x1)

   = (7.5-5.7)/ (3-2)

   =1.8/1

 = 1.8 cups / minute

We can find the slope for the line

( 1,4)( 3,7)

m = (y2-y1)/(x2-x1)

    = (7-4)/(3-1)

    =3/2

   =1.5  cups/ minute

The table is filling faster (1.8 > 1.5)

Zoe's pail is filling faster

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.