Part A Write the explicit formula in function form.
an = 5 +0.2(n - 1)
f(n) =

Part b
What is the y-intercept of the function

A.  

B. The y intercept is 4.8

Step-by-step explanation:

Given

Solving (a): Write as a function.

To do this, we simply substitute f(n) for

becomes

Open Bracket

Collect Like Terms

B. The y intercept.

To get the y intercept, we set n to 0

i.e

Hence, the y intercept is 4.8

Step-by-step explanation:

In a recent year, 4 out of 5 movies cost between $50 and $99 million to make. It means that the probability that the cost of making a movie will be between $50 and $99 million is 4/5. This is the probability of success. The expected number of movies from a total of 512 releases in a year that would cost between $50 and $99 million would be the product of the probability of success and the number of movies. It becomes

4/5 × 512 = 409.6

Approximately 410 movies