ALGEBRA 2, 2012
25

 PAGE: 155 SET: Exercises PROBLEM: 25

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 .

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