Trinity is going to the movies with some friends and will pay for her own ticket plus her own and her friends' small popcorns. her total cost is given by the following expression: 8.5 + 6x what does the 6x represent?
a. the total cost of the small popcorns
b. the amount of small popcorns she is buying
c. the total cost
d. the cost of the ticket

A. The total cost of the small popcorns

Step-by-step explanation:

Let us suppose Trinity is going to the movies with number of friends, we know she will pay for only her own movie ticket hence cost of movie ticket will be a constant (say ) for her expense and cost of popcorn will be price of one popcorn (say ) multiplied by number of friends.

considering the situation, her expense will be given by the function-

comparing this with the given function  , will be the total cost of small popcorns.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1