Rain is flowing into two containers at
different rates. The figure below shows the
volume of water in each container at
different times.
What is the difference in the rate of change between the two containers?

A.1/5 gallon per minute
B.3/5 gallon per minute
C.5/2 gallon per minute
D.15/2 gallon per minute

Given:

Volume of water in each container.

To find:

Difference in the rate of change.

Solution:

Take any two points on container 1.

Let the points are (10, 2) and (20, 4).

Rate of change for container 1 is .

Take any two points on container 2.

Let the points are (5, 2) and (10, 4).

Rate of change for container 2 is .

Difference =

The difference in the rate of change between the two containers is gallon per minute.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.