Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.3, Problem 25PPS
To determine

To find: The maximum and minimum bill of Dale cell phone.

Expert Solution & Answer
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Answer to Problem 25PPS

The minimum bill is =80

And maximum bill is =110

Explanation of Solution

Given: Dale has maximum 800 minutes on his cellphone plan can use each month.

Daytime minutes cost $ 0.15 and night minute cost $ 0.10

Dale use at least 200 night times and does not go over his limit.

Let the variable for the daytime and nighttime is:

  x be the daytime minutes

  y be the nighttime minutes.

Now the system of inequalities for the given situation:

  Algebra 2, Chapter 3.3, Problem 25PPS

  x+y800 maximum number of allowable minutes

  x2y at least twice as many daytime minutes as daytime minutes

  y200 at least 200 nighttime minutes

Find maximum and minimum bill from the graph

  0.15x+0.10y

From the graph ordered pair is (400,200)

  0.15x+0.10y=0.15(400)+0.10(200)=60+20=80

Ordered pair for (533.3,266.7)

  0.15x+0.10y=0.15(533.3)+0.10(266.7)=80+26.7=106.70

Now ordered pair for (600,200)

  0.15x+0.10y+0.15(600)+0.10(200)90+20110

Hence the minimum bill is =80 and maximum bill is =110

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - 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