Answer:
Part 11) see the explanation
Part 12) The graph in the attached figure
Step-by-step explanation:
Part 11)
Let
x ----> the number of tickets is section A (cost $50 each)
y ----> the number of tickets is section B (cost $40 each)
we know that
At most means "less than or equal to"
[tex]x+y\leq 10[/tex] ----> inequality A
[tex]50x+40y\leq 450[/tex] ----> inequality B
Using a graphing tool
The solution is the shaded area
see the attached figure N 1
Three possible combinations are the points
(0,10),(5,5),(9,0)
That means
(0,10) ----> They buy 0 seats in section A and 10 seats in section B
(5,5) ----> They buy 5 seats in section A and 5 seats in section B
(9,0) ----> They buy 9 seats in section A and 0 seats in section B
Part 12)
Let
x ----> the number of hours Kendra works as a babysitter
y----> the number of hours Kendra works providing technical support
we know that
[tex]x+y\leq 80[/tex] ----> inequality A
At least means "greater than or equal to"
[tex]10x+15y\geq 1,000[/tex] ----> inequality B
using a graphing tool
The solution is the triangular shaded area
The graph in the attached figure N 2
