/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q37. Suppose y聽varies directly as x.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q37. (page 203)

Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Ify=4when x=-4, find y when x=7.

Short Answer

Expert verified

The direct variation equation that relates x and y is y=鈭�x.

The value of y whenx=7 is -7.

Step by step solution

01

Step 1. Write a direct variation equation that relates x and y.

It is given that y varies directly as x.

Therefore it implies that y伪x.

Therefore, it is obtained that:

y伪xy=kx

Where, k is constant of proportionality.

It is given that when x=鈭�4,y=4.

Therefore, substitute -4 for x and 4 for y in the equation y=kx to find the value of k.

y=kx4=k鈭�44鈭�4=k鈭�1=k

Substitute the value of k in the equation y=kx.

Therefore, it is obtained that:

y=kxy=鈭�1xy=鈭�x

Therefore, the direct variation equation that relates x and y is y=鈭�x.

02

Step 2. Find the value of y when x=7.

The direct variation equation that relates x and y is y=鈭�x.

Find the value of y by substituting 7 for x in the equation y=鈭�x.

y=鈭�x=鈭�7

Therefore, the value of y whenx=7 is -7.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Write an equation for the term of each arithmetic sequence.

a1=6,d=5

In this problem, you will explore x- and y- intercepts of graphs of linear equations.

a. If possible, use a straightedge to draw a line on a coordinate plane with each of the following characteristics.

b. For which characteristics were you able to create a line and for which characteristics were you unable to create a line? Explain.

c. What must be true of the x- and y- intercepts of a line?

Solve each equation by graphing.

14x鈭�84=0

Write an equation in function notation for this relation.

Find the slope of the line that passes through each pair of points.

鈭�6,4,鈭�6,鈭�2
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

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.