Chapter ISG, Problem 5.1.1.6P

To determine

To Write and solve an inequality to model number of days spend on vacation by N.

Answer to Problem 5.1.1.6P

  $550+45x\le 1000$

  $x\le 10$

Explanation of Solution

Given information:

Nhas saved $1000 for vacation.

Budget for transportation is $550

Cost for per day food is $45

Calculation:

Let number of days spend on vacation be $x$

So cost for per day food for $x$ days will be $45\times x$

Total Cost =Transportation cost + food cost for $x$ days

Total Cost = $550+45x$

He has $1000 to spend.

So the equation will be:-

  $550+45x\le 1000$

Subtracting 550 0n both sides of the inequality

  $550+45x-550\le 1000-550$

  $45x\le 450$

Dividing both sides by 45

  $x\le 10$

So number of days spent on vacation will be 10 or less than 10.