BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 20E
To determine

To find: The total number of text messages Miriam send in a month.

Expert Solution

Answer to Problem 20E

Miriam sends total 1285 text messages in a month.

Explanation of Solution

Given:

The cost for first 1000 messages is $10 and cost for additional text messages is 10 cents.

Miriam’s bill is $38.50 for month of June.

Calculation:

Let the number of total text messages be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Number of text messages x
Additional text messages x-1000
Cost of additional messages 0.10(x1000)

Model the equation for the above information.

Fixedcost+Additionalcost=Totalcost10+0.10(x1000)=38.50

Simplify the above equation for x,

10+0.10x100=38.500.10x90=38.500.10x=128.5(Add90)x=1285(Divideby0.10)

Thus, Miriam sends total 1285 text messages in a month.

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