Myranda received a movie gift card for $100 to her
local theater. Matinee tickets cost $7.50 each and
evening tickets cost $12.50 each. If x represents
the number of matinee tickets she could purchase,
and y represents the number of evening tickets she
could purchase, write an inequality that represents
all the possible ways Myranda could spend her gift
card on movies at the theater. On the set of axes
below, graph this inequality.
Number of Evening Tickets
Number of Matinee Tickets

The number of matinee tickets (x) multiplied by $7.50 each plus the number of evening tickets (y) multiplied by $12.50 each must be at most (less than or equal to) $100

so

The inequality that represent this problem is

[tex]7.50x+12.50y\leq 100[/tex]

using a graphing tool

The solution is the triangular shaded area

Remember that the number of tickets must be a whole number

see the attached figure

swapnalimalwadeVT swapnalimalwadeVT · Answer 2 · 2022-06-06T16:11:32+02:00

The graph in the attached in the figure is the answer of the question

Let, we have

x ---> represents the number of matinee tickets she could purchase

y ---> represents the number of evening tickets she could purchase

we know that

The number of matinee tickets (x) multiplied by $7.50 each plus the number of evening tickets (y) multiplied by $12.50 each must be at most (less than or equal to) $100

So, the inequality that represents this problem is

[tex]7.50x+12.50y\leq 100[/tex]

What is inequality?

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

using a graphing tool

The solution is the triangular shaded area

Remember that the number of tickets must be a whole number

see the attached figure.

To learn more about the inequality visit:

https://brainly.com/question/11613554

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