Amovie theater has a membership program, $30 enrollment fee and $5 per movie. non-members pay $8 per movie. after how many movies will having a membership pay off?

The number of movies must be greater than 10

Step-by-step explanation:

Let

x ----> the number of movies

y ----> the total cost

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

Membership

The slope is equal to

The y-intercept is equal to

 ---> enrollment fee

so

The linear equation is

----> equation A

Non-Members

The slope is equal to

The y-intercept is equal to

 ---> Is a proportional relationship

so

The linear equation is

----> equation B

Solve the inequality

Divide both sides by -3

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

therefore

The number of movies must be greater than 10

tigers

step-by-step explanation:

cougars 12/10 (12-10 = 2)

bobcats 20/10 (20-10 =10)

bulldogs 8/5 (8-5 =3)

tigers 3/5 (3-5 =-2)

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step-by-step explanation:

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