Answer:
The correct option is 1.
Step-by-step explanation:
The given ordered pairs are (1,20), (2,50), (3,80), (4,110) and (5,140).
It is a linear function, because for the value of function increased by a constant rate.
If a line passing through two points then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The equation for given data is
[tex]y-20=\frac{50-20}{2-1}(x-1)[/tex]
[tex]y-20=30(x-1)[/tex]
[tex]y=30x-30+20[/tex]
[tex]y=30x-10[/tex]
The required function is
[tex]f(x)=30x-10[/tex]
At x=13,
[tex]f(13)=30(13)-10=390-10=380[/tex]
The approximate predicted number of DVDs Aaron will sell in the 13th month is 380.
Therefore correct option is 1.
