SOLUTION: Tickets to a concert cost $25 for lower-level seats and $10 for upper-level seats.
A company plans to buy up to 30 tickets for employees and spend up to $500. Write
and graph a
Algebra.Com
Question 178535This question is from textbook saxon algebra 2
: Tickets to a concert cost $25 for lower-level seats and $10 for upper-level seats.
A company plans to buy up to 30 tickets for employees and spend up to $500. Write
and graph a system of linear inequalities to represent all the possible combinations of lower-level and upper-level tickets the company can buy.
I got: x + y is less than or equal to 30
25x + 10y is less than or equal to 500
my problem: I don't know where to go from here to graph.
PLEASE HELP!
This question is from textbook saxon algebra 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tickets to a concert cost $25 for lower-level seats and $10 for upper-level seats.
A company plans to buy up to 30 tickets for employees and spend up to $500. Write
and graph a system of linear inequalities to represent all the possible combinations of lower-level and upper-level tickets the company can buy.
I got: x + y is less than or equal to 30
25x + 10y is less than or equal to 500
----------
Solve each for y and then graph.
x>=0
y>=0
y <= 30 - x
y <= (-5/2)x + 50
------------------------
Graph the equalities as they are the boundary of the inequalities.
Graph y = -x+30 and y = (-5/2)x + 50
--------------
Shade the halfplane BELOW the line as you want "less than"
Shade the halfplan BELOW the 2nd line for the same reason.
=========
The solution set is the set of all points that satisfy both conditions.
Since x and y are not negative the points are restricted to Quadrant I.
============
Cheers,
Stan H.
RELATED QUESTIONS
The ticket to a concert cost @12.30 for the lower level and $5.25 for the upper level . A (answered by ikleyn)
There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level... (answered by richwmiller)
Please help me quickly, I am trying to help my daughter with her homework.
Problem:
(answered by josmiceli)
the tickets to a concert cost $16.30 for the lower level and $5.50 for the upper level. A (answered by ozymandias)
Tickets for a concert are $40 for main-floor seats and $25 for upper level seats. A total (answered by algebrapro18)
Translate to a system of equations and solve.
Tickets for a baseball game are $69 for... (answered by Theo)
1. A costumer recently purchased 16 tickets with seats in either the lower level that... (answered by Boreal)
The tickets to a winter concert cost $20.70 for the lower level and $6.75 for the upper... (answered by richwmiller)
a theater sells tickets for a concert. tickets for lower level sell for $35 each, and... (answered by ikleyn)