Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q4. (page 672)

Manuel runs an average of 8 miles per hour and finishes a race in 0.39 hours. Dyani finished the race in 0.35 hours. What was her average pace?

Short Answer

Expert verified

The average pace of Dyani is 8.91 miles per hour.

Step by step solution

01

Step 1. State the concept. 

Relationship of the form xy=k or y=kx where x,y≠0for some nonzero constant kis known as inverse variation i.e., yvaries inversely as x.

Product Rule for Inverse Variations – If x1,y1and +are solutions of an inverse variation, then x1y1=x2y2.

02

Step 2. Apply Product rule for Inverse Variations. 

First, make the table representing the situation given.

x
Distance
8x2
y
Time (hour)
0.390.35

In order to find x2, apply the product rule for Inverse variation. Substitute 8 for x1, 0.39 for y1and 0.35 for y2into the equation x1y1=x2y2.

x1y1=x2y2(8)×(0.39)=(x2)×(0.35)

03

Step 3. Simplify for x2.

Further, simplify by dividing both sides by 0.35.

(8)×(0.39)=(x2)×(0.35)3.12=0.35x2x2=3.120.35x2=8.91

Hence, the average pace of Dyani is 8.91 miles per hour.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find each sum or difference.
1x−6+3x−2

Assume that yvaries inversely as x. If y=5when x=−4write an inverse variation equation that relates xand y.

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

If the line x=a is a vertical asymptote of a rational function, then a is an excluded value.

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

A direct variation can be represented by an equation of the formk=xy, where k is a nonzero constant.

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The excluded values forxx2+5x+6 are -2 and -3.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free