There were 35,000 people at a ball game in Atlanta. The day's receipts were $290,000. How many people paid $14 for reserved seats and how many paid $6 for general admission? Let x represent the number of reserved seats and y represent the number of general admission seats.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Is this answer correct? If not, please show me how to do it. Thank you!

1. Find the system of equations to model the problem. **DO NOT SOLVE THIS SYSTEM.**

There were 35,000 people at a ball game in Atlanta. The day's receipts were $290,000. How many people paid $14 for reserved seats and how many paid $6 for general admission? Let \( x \) represent the number of reserved seats and \( y \) represent the number of general admission seats.

\[
\begin{aligned}
14x + 6y & < 290,000 \\
x + y & = 35,000
\end{aligned}
\] 

The task is to create a system of equations based on the information given without solving it. Here, \( 14x + 6y < 290,000 \) models the total revenue from ticket sales, and \( x + y = 35,000 \) represents the total number of people attending the game.
Transcribed Image Text:1. Find the system of equations to model the problem. **DO NOT SOLVE THIS SYSTEM.** There were 35,000 people at a ball game in Atlanta. The day's receipts were $290,000. How many people paid $14 for reserved seats and how many paid $6 for general admission? Let \( x \) represent the number of reserved seats and \( y \) represent the number of general admission seats. \[ \begin{aligned} 14x + 6y & < 290,000 \\ x + y & = 35,000 \end{aligned} \] The task is to create a system of equations based on the information given without solving it. Here, \( 14x + 6y < 290,000 \) models the total revenue from ticket sales, and \( x + y = 35,000 \) represents the total number of people attending the game.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning