Dale has a maximum of
minutes on his cell phone plan.
Let
be the number of day time minutes.
Let
be the number of night time minutes.
The inequality is
. Dale plans to use at least twice as many daytime minutes as night time minutes.
The inequality is
.
If Dale uses atleast
night time minutes and does not go over his limit.
The inequality is
.
Day time minutes cost
, and night time minutes cost
.
The function is
.
Find the his maximum and minimum bill.
\Write a system of inequality.
\
The function is
.
Graph:
\Graph the inequalities are
and
.

Observe graph:
\The coordinate points are
,
and
.
Make a table:
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Therefore, the maximum bill is
and minimum bill is
.
His maximum bill is
and minimum bill is
.