Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Question: Cell Phones
Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last, you bill was $29.50.
a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.
b. Solve the equation you wrote in part a.
c. How many additional minutes did you use last month?

a. The total phone bill with extra minutes is given by $29.50 = 19.50 + 0.25 \cdot m$

b. The solution of the equation is m = 40 minutes.

c. 40 additional minutes were used last month.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

a.Step 1. Given

Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last, you bill was $29.50.

Step 2. To determine

We have to write the equation for the total phone bill of last month with m extra minutes.

Step 3. Calculation

Cost of 1 extra minute = $0.25

The cost of m extra minutes is = $0.25m.

Given that the fixed fee for 200 minutes is = $19.50.

So, the total bill is: $19.50 + 0.25 \cdot m$

Given that the total bill is $29.50

So, the equation for the total phone bill of last month with m extra minutes will be:

$29.50 = 19.50 + 0.25 \cdot m$

b.Step 1. Given

Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last, you bill was $29.50.

Step 2. To determine

We have to solve the equation for m: $29.50 = 19.50 + 0.25 \cdot m$

Step 3. Calculation

$\begin{array}{l} 29.50 = 19.50 + 0.25 \cdot m \\ 29.50 - 19.50 = 19.50 - 19.50 + 0.25 \cdot m [subtract 19.50 from each side] \\ 10 = 0.25 m \\ 10 \div 0.25 = 0.25 m \div 0.25 [divide each side by 0.25] \\ m = 40 \end{array}$

So, the solution is m = 40.

c.Step 1. Given

Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last, you bill was $29.50.

Step 2. To determine

We have to find the number of additional minutes used last month.

Step 3. Calculation

The number of additional minutes used last month is $m = 40 minutes$

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