Concept explainers
To find: the least cost plan when the person uses 750 minutes per month
Answer to Problem 38PPS
Plan C will be least costly for that person
Explanation of Solution
Given:
A cell phone company charges an additional $0.08 per minute
Plan A uses a flat rate of $0.10 per minute for all calls
Plan | Monthly Fee | Included Minutes |
A | $0 | None |
B | $29.99 | 500 |
C | $39.99 | 1000 |
D | $49.99 | 1500 |
Calculation:
Let a person uses'm' minutes each month.
Plan A:
Since call rate is $0.10 per minute,
Therefore, for 'm' minutes the total monthly charge will be 0.10m.
Plan B:
The monthly fee is $29.99 and it includes 500 minutes.
So, if
While if
Thus, for
Plan C:
The monthly fee is $39.99 and it includes 1000 minutes.
So, if
While if
Thus, for
Plan D:
The monthly fee is $49.99 and it includes 1500 minutes.
So, if
While if
Thus, for
Now, a person uses 750 minutes per month. Then to find which plan will cost him the least, find monthly cost for each plan by substituting
Plan A:
Plan A will cost $75.
Plan B:
Since
Substituting
Now, as per the rules of order of operation, first solve bracket, then multiply and then add.
Plan B will cost $49.99
Plan C:
Since
Plan C will cost $39.99
Plan D:
Since
Plan D will cost $49.99
On looking at the cost incurred by all the plans for using 750 minutes per month, it is concluded that Plan C will be least costly for that person.
Conclusion:
Therefore, plan C will be least costly for that person
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