Question

The scatter plot shows the number of DVDs Aaron sold in different months:

Plot ordered pairs 1, 20 and 2, 50 and 3, 80 and 4, 110 and 5, 140

What is the approximate predicted number of DVDs Aaron will sell in the 13th month?
380
390
400
420

Answer 1

380

Explanation:

Answer 2

The correct option is 1.

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

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The equation for given data is

`y-20=(50-20)/(2-1)(x-1)`

`y-20=30(x-1)`

`y=30x-30+20`

`y=30x-10`

The required function is

`f(x)=30x-10`

At x=13,

`f(13)=30(13)-10=390-10=380`

The approximate predicted number of DVDs Aaron will sell in the 13th month is 380.

Therefore correct option is 1.