SOLUTION: Kasa wants to have a maximum of $60 cash at the ticket booth when her church carnival opens. She will have $1 bills and $5 bills. If x is the number of $1 bills and y is the number

Algebra ->  Graphs -> SOLUTION: Kasa wants to have a maximum of $60 cash at the ticket booth when her church carnival opens. She will have $1 bills and $5 bills. If x is the number of $1 bills and y is the number      Log On


   

Question 1205800: Kasa wants to have a maximum of $60 cash at the ticket booth when her church carnival opens. She will have $1 bills and $5 bills. If x is the number of $1 bills and y is the number of $5 bills the inequality x+5y<=60 models the situation. Graph the inequality.
List three solutions to the inequality x+5y<=60 where both x and y are integers.
First Solution:
Second Solution:
Third Solution:
Answer by Theo(13342) About Me  (Show Source):
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she wants to have a maximum of 60 dollars in 1 dollar bills and 5 dollar bills.
x = number of 1 dollar bills.
y = number of 5 dollar bills.

the inequality is x + 5y <= 60

to graph this inequality using the desmos.com calculator, graph the opposite of the i equality.

the area on the graph that is not shaded is the region of feasibility.

the constraint inequalities are
x + 5y <= 60
x >= 0
y >= 0

x and y must be greater then or equal to 0 because negative dollar amounts are not allower.

the graph looks like this.



any point on the line or in the unshaded area is good.

the objective function is x + 5y <= 60.

any of the points shown meet that criteria.

for example, the point (45,3) makes x + 5y <= 60 equal to 45 + 15 = 60 which is less than or equal to 60.