34. A graph of the function y = ax? + bx + c contains the points (-1,-2), (1, –4) and (2,4). Set up but do not solve a system of equations that would find the values of a, b and c.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

34

33. Agroup of people purchased 10 hot dogs and 5 soft drinks at a cost of $35.00. A second
group bought 7 hot dogs and 4 soft drinks at a cost of $25.25. What is the cost of a single hot
dog? A single soft drink?
34. Agraph of the function y = ax? + bx +c contains the points (-1,-2), (1, –4) and (2,4).
Set up but do not solve a system of equations that would find the values of a, b and c.
35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating.
Orchestra seats sell for $150, main seats for $135, and balcony seats for $110.
If all the sets are sold, the gross revenue to the theater is $64,250.
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross
revenue is $56,750.
Set up but do not solve a system of equations that would tell you how many of each seat
there iin the theater
Transcribed Image Text:33. Agroup of people purchased 10 hot dogs and 5 soft drinks at a cost of $35.00. A second group bought 7 hot dogs and 4 soft drinks at a cost of $25.25. What is the cost of a single hot dog? A single soft drink? 34. Agraph of the function y = ax? + bx +c contains the points (-1,-2), (1, –4) and (2,4). Set up but do not solve a system of equations that would find the values of a, b and c. 35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there iin the theater
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