Question

Question

In 1960, the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.

a. Write a linear model that represents the world record (in minutes) for the men's mile as a function of the number of years, t
, since 1960.








































Question
In 1960, the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.

a. Write a linear model that represents the world record (in minutes) for the men's mile as a function of the number of years, t
, since 1960.


































Question
In 1960, the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.

a. Write a linear model that represents the world record (in minutes) for the men's mile as a function of the number of years, t
, since 1960.

Answer 1

World record (in minutes) = a + b*t

where a and b are constants.

Based on the given data, we can solve the following system of equations to obtain the values of a and b:

3.91 = a + b*10

3.81 = a + b*20

Solved:

3.91 = a + 10*b

3.81 = a + 20*b

3.91 - 3.81 = 10*b - 20*b = 2*b

b = 0.05

Therefore, the model is:

World record (in minutes) = a + 0.05*t