The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $7.50. The auditorium can hold no more than 75 people. The drama club must make a minimum of $450 from ticket sales to cover the show's costs. If z represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $7.50. The auditorium can hold no more than 75 people. The drama club must make a minimum of $450 from ticket sales to cover the show's costs. If z represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.1: Solving Inequalities By Addition And Subtraction

Problem 57PFA

See similar textbooks

Similar questions

Sarah wants to arrive at her friend’s wedding at 3:00. The distance from Sarah’s house to the wedding is 95 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the weddingis 95 miles. Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
Greek Mythology Can the Greek hero Achilles, running at 20 feet per second, ever catch a tortoise, starting 20 feet ahead of Achilles and running at 10 feet per second? The Greek mathematician Zeno said no. When Achilles runs 20 feet, the tortoise will be 10 feet ahead. Then, when Achilles runs 10 feet, the tortoise will be 5 feet ahead. Achilles will keep cutting the distance in half but will never catch the tortoise. The table shows Zeno’s reasoning. In the table, both the distances and the times required to achieve them form infinite geometric series. Using the table, show that both series have finite sums. What do these sums represent?
Wedding Budget Adele and Walter found the perfect venue for their wedding reception. The cost is $9,850 for up to 100 guests, plus $38 for each additional guest. How many guests can attend if Adele and Walter want the total cost to be no more than $12,500?
For Exercises 7 and 8, state a conclusion when possible. 1All major league baseball players enjoy a six-figure annual salary. 2Nickolas makes a six-figure annual salary. C ______________________________________
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 17. If we let xbe the amount the woman invests in the 15% bond, how much will she be able to invest in the CD?
Starting with the point-slope formula yy1=m(xx1) , solve this expression for x in terms of x1,y,y1,andm .