In 1960 the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes. Write a linear model that represents the world record for the men's mile as a function of the number of years since 1960.

Respuesta :

[tex]x[/tex] - number of years passed since 1960
[tex]y[/tex] - time in minutes

A line [tex]y=mx+n[/tex] passes through the points (0,3.91) and (20,3.81).

Find slope.
[tex]m= \frac{3.81-3.91}{20-0}= \frac{-0.1}{20}=-0.005[/tex]

Find [tex]y[/tex]-intercept. 
[tex]y=mx+n \\3.91=-0.005 \times 0+n \\n=3.91[/tex]

The equation of line is
[tex]y=-0.005+3.91 [/tex]