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:
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Therefore, the maximum bill is and minimum bill is
.
His maximum bill is and minimum bill is
.