/*! 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} Q. 323 Tickets for an American Baseball... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 323 (page 674)

Tickets for an American Baseball League game for 3adults and 3children cost less than \(75, while tickets for 2adults and 4children cost less than \)62.

鈸� Write a system of inequalities to model this problem.

鈸� Graph the system.

鈸� Could the tickets cost \(20for adults and \)8for children?

鈸� Could the tickets cost \(15for adults and \)5for children?

Short Answer

Expert verified

Part 鈸� System of inequalities to model this situation is: 3a+3c<752a+4c<62

Part 鈸� Graph of the system of inequalities:

鈸� Tickets cannot cost $20for adults and $8for children.

鈸� Tickets can cost $15for adults and $5for children.

Step by step solution

01

Part (a) Step 1. Finding the system of inequalities   

Let, abe the cost of tickets for adults and cbe the cost of tickets for children.

Tickets for 3adults and 3children cost less than $75. So, the inequality is:3a+3c<75

Tickets for 2 adults and 4 children cost less than $62. So, the inequality is: 21+4c<62

The system of inequalities is:3a+3c<752a+4c<62

02

Part (b) Step 1. Graphing the system of inequalities  

Below is the graph of the system of inequalities:3a+3c<752a+4c<62

03

Part (c) Step 1. Finding whether tickets can cost $20 for adults and $8 for children 

As the point (20,8)is not in the double shaded region of the graph, so, tickets cannot cost $20for adults and $8 for children.

04

Part (d) Step 1. Finding whether tickets can cost $15 for adults and $5 for children 

As the point (15,5)is in the double shaded region of the graph, so, tickets can cost $15for adults and$5 for children.

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

In the following exercises, translate to a system of equations and solve the system.

Daniela invested a total of \(50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bonds was \)5000 more than twice the amount she put into the CD. How much did she invest in each account?

In the following exercises, translate to a system of equations and solve.

College roommates John and David were driving home to the same town for the holidays. John drove 55 mph, and David, who left an hour later, drove 60 mph. How long will it take for David to catch up to John?

In the following exercises, translate to a system of equations and solve.

Two angles are supplementary. The measure of the larger angle is four more than three times the measure of the smaller angle. Find the measures of both angles.

In the following exercises, solve the following systems of equations by graphing.

x+y=52x-y=4

In the following exercises, solve the systems of equations by substitution.

15x+2y=6-5x+2y=-4
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Calculus

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.