Chapter 11.6, Problem 5P

a.

To determine

Does the situation represent a direct variation or inverse varaition?

Answer to Problem 5P

Direct Variation.

Explanation of Solution

Given:

You buy sweaters in a clothing store for $35 each.

Calculation:

Cost of 1 sweater = $35

So cost of x sweaters =$35x

If the no. of sweater increases then the total cost also increases.

So it is a direct variation because cost increases if no. of sweaters increases..

b.

To determine

Does the situation represent a direct variation or inverse varaition?

Answer to Problem 5P

Inverse Variation.

Explanation of Solution

Given:

You walk 5ml each day and your speed and time spent walking vary each day.

Calculation:

You walk each day = 5ml

Let your speed = x ml/hrs

And your time spent in walking = y hrs

  $Asweknowspeed=\frac{dis\tan ce}{time}$

Your speed and time both depends inversely to each other.

So it is a inverse variation because if speed increases then time decreases and if time increases then speed decreases.