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Q37.

Expert-verifiedFound in: Page 127

Book edition
Common Core Edition

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

Pages
183 pages

ISBN
9780547587776

**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.

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.

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

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:

$29.50=19.50+0.25\cdot m$

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.

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

$\begin{array}{l}29.50=19.50+0.25\cdot m\text{}\\ 29.50-19.50=19.50-19.50+0.25\cdot m\text{}\left[\text{subtract 19.50 from each side}\right]\\ 10=0.25m\\ 10\xf70.25=0.25m\xf70.25\text{}\left[\text{divide each side by 0.25}\right]\\ m=40\end{array}$

So, the solution is m = 40.

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

The number of additional minutes used last month is $m=40\text{minutes}$

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