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Chapter 4: Q58. (page 181)

Short Answer

Expert verified

Maximum number of miles a person can drive is 513 miles.

Step by step solution

01

-Write an inequality

Let the number of miles a person can drive be x

As rent for 1 mile is $0.15, so rent for x miles is $0.15x

Since, sum of $12.95and $0.15xgives total rent of each day which must be less than or equal to $90. Thus, inequality is

12.95+0.15x鈮�90

02

- Write properties of inequality

Properties of inequalities are written in following table:

03

- Simplify 12.95+0.15x≤90

To simplify given inequality, use subtraction and division property of inequalities. Subtract a number from both sides of inequality does not change its sign. Also divide both sides by same positive number does not reverse the sign of inequality as shown below

12.95鈭�12.95+0.15x鈮�90鈭�12.950.15x鈮�77.050.15x0.15鈮�77.050.15x鈮�513.67

Thus, maximum number of miles a person can drive is 513 miles.

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Most popular questions from this chapter

For Exercises 36-39, use the following price list for one-day admissions to the community pool.

37. Find the matrix that represents the additional cost for non-residents.

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

32. Find the difference in cookie sales from Friday to Saturday expressed as a matrix.

For exercises 30 and 31, use the costs for an overnight stay at a hotel that are given below.

Single room: \(60 weekday; \)79 weekend

Double room: \(70weekday; \)89weekend

Suite: \(75 weekday; \)95 weekend

30. Write a 3脳2 matrix that represents the cost of each room.

Solve each equation.

4x-33y713=9-1572z+1
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