Answer:
2.8
Step-by-step explanation:
ur welcome i hope this helps
Answer:
80 movies must be streamed.
Step-by-step explanation:
To find the average cost, you must divide the total cost by the number of movies watched.
When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.
The equation is shown as such:
average cost = (total cost)/(number of movies)
Your total cost can be represented as
, while the number of movies is represented as
.
You want the average to equal 5, so your equation is shown as follows:

simplifying this, we get

which can then be simplified to

X = 80 movies.
By inspection, it's clear that the sequence must converge to

because

when

is arbitrarily large.
Now, for the limit as

to be equal to

is to say that for any

, there exists some

such that whenever

, it follows that

From this inequality, we get




As we're considering

, we can omit the first inequality.
We can then see that choosing

will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that

.