A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is used. Mr. Kordemsky wants his phone bill for the month to be less than $40. Write an inequality that could be used to model this situation. Solve this inequality for m.

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12-03-2021
Mathematics

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A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is used. Mr. Kordemsky wants his phone bill for the month to be less than $40. Write an inequality that could be used to model this situation. Solve this inequality for m.

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majocgonzalez majocgonzalez · Answer 1 · 2021-03-16T01:32:55+01:00

Answer:

The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

Step-by-step explanation:

From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:

15.95+0.10m<40

Now, you can solve for m:

15.95+0.10m<40

0.10m<40-15.95

0.10m<24.05

m<24.05/0.10

m<240.5

According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.