Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

They will have to view 12 movies to pay same amount

Step-by-step explanation:

Jaycee has a VIP membership to a movie theater , so she pays $27 a year and $6 for each movies she sees. The equation of the total cost Jaycee pays depending on the number of movies she sees per year can be represented below:

Jaycee

total cost = 27 + 6a

where

a = number of movies viewed per year

Claire does not have a membership but she pays $ 8.25 for each movie she sees. Claire total cost can be represented below:

Claire

total cost = 8.25a

where

a = number of movies viewed per year

The number of movies at which both can see in order to pay the same amount that year is when both equation is equal.

27 + 6a = 8.25a

27 = 8.25 - 6a

27 = 2.25a

a = 12

They will have to view 12 movies to pay same amount. The cost for both of them will be $ 99.

b

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: