Chapter ISG, Problem 5.6.8P

a.

To determine

To write an inequality equation.

Answer to Problem 5.6.8P

  

Explanation of Solution

Given information:

O jogged for 2 hours at x miles/hour

O bicycle for 2 hours at y miles/hour

O swam a distance of 2 miles

Total distance did not exceed 30 miles

Calculation:

Distance travelled during jogging= 2x miles

Distance travelled during bicycling= 2y miles

Distance travelled during swimming=2 miles

Inequality Distance constraint

  

b.

To determine

To graph the solution of inequality.

  

Answer to Problem 5.6.8P

Then graph of inequality is given below

  

Explanation of Solution

Given information:

  

Calculation:

  

Write in slope intercept form

  

Ordinary equation

  

Substituting x=0

Then y=14

Substituting y=0

Then x=14

Table of x and y is given below

  

Then graph is given below

  

Region

Take a point below the line

Point (0,0) is below line put in inequlity equation

  

On solving,

  

Inequality is true

The region is below line

Then graph of inequality is given below

  

c.

To determine

To find greatest possible speed by bicycle.

Answer to Problem 5.6.8P

Maximum possible speed for bicycle is 7.5 miles/hour .

Explanation of Solution

Given information:

  

Calculation:

Greatest possible distance by bicylce

  

On solving,

  

Dividing both side by 2

  

On solving,

   Distance by bicycle in 2 hours is 15 miles

  

=7.5 miles/hour

Hence, maximum possible speed for bicycle is 7.5 miles/hour .