Answer:
The answer is below
Explanation:
a) A linear model is represented in the form y = mx + c, where y is the dependent variable, x is the independent variable, m is the rate of change and c is the value of y at x = 0.
Since x = years since 2010, let y = number of movies produced
In 2010 (x = 0), y = 1, this can be represented as (0, 1)
In 2018 (x = 8), y = 3, it can be represented as (8, 3)
Hence, with the points (0,1) and (8, 3) using the formula:
[tex]y-1=\frac{3-1}{8-0}(x-0)\\ \\y-1=\frac{1}{4}x\\\\y=\frac{1}{4}x+1[/tex]
b) In 2020 (x = 10), the number of films that would be released is:
[tex]y=\frac{1}{4}x+1\\ \\y=\frac{1}{4}(10)+1\\ \\y=2.5+1\\\\y=3.5\\\\y=3[/tex]
3 movies would be released
