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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 $$ 0.15$ , so rent for x miles is $$ 0.15 x$

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

$12.95 + 0.15 x \leq 90$

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

$\begin{matrix} 12.95 - 12.95 + 0.15 x \leq 90 - 12.95 \\ 0.15 x \leq 77.05 \\ \frac{0.15 x}{0.15} \leq \frac{77.05}{0.15} \\ x \leq 513.67 \end{matrix}$

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

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Most popular questions from this chapter

28. Write a $4 \times 4$ matrix to organize this information.

What is the value of $y$ if $[\begin{matrix} 3 x \\ y + 5 \end{matrix}] = [\begin{matrix} 9 + y \\ x \end{matrix}]$ ?

A. 2 B. 4 C. $- 3$ D. localid="1648213664321" $- 1$

Use matrices $A$ , $B$ , $C$ and $D$ to find the following.

$A = [\begin{matrix} 5 & 7 \\ - 1 & 6 \\ 3 & - 9 \end{matrix}], B = [\begin{matrix} 8 & 3 \\ 5 & 1 \\ 4 & 4 \end{matrix}], C = [\begin{matrix} 0 & 4 \\ - 2 & 5 \\ 7 & - 1 \end{matrix}], D = [\begin{matrix} 6 & 2 \\ 9 & 0 \\ - 3 & 0 \end{matrix}]$

25. $D - B$

Use matrices $A$ , $B$ , $C$ and $D$ to find the following.

$A = [\begin{matrix} 5 & 7 \\ - 1 & 6 \\ 3 & - 9 \end{matrix}], B = [\begin{matrix} 8 & 3 \\ 5 & 1 \\ 4 & 4 \end{matrix}], C = [\begin{matrix} 0 & 4 \\ - 2 & 5 \\ 7 & - 1 \end{matrix}], D = [\begin{matrix} 6 & 2 \\ 9 & 0 \\ - 3 & 0 \end{matrix}]$

24. $A + B$

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.

14. $[\begin{matrix} 4 \\ 1 \\ - 2 \end{matrix}] + [\begin{matrix} 6 \\ - 5 \\ 8 \end{matrix}]$

See all solutions

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