Question

Jack is a discus thrower and hopes to make it to the Olympics some day. He has researched the distance (in meters) of each men's gold medal discus throw from the Olympics from 1920 to 1964. Below is the equation of the line of best fit Jack found.
y = 0.34x + 44.63
When calculating his line of best fit, Jack let x represent the number of years since 1920 (so x=0 represents 1920 and x=4 represents 1924).

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.
71.83 meters

65.03 meters

717.83 meters

44.63 meters

Answer 1

Answer:

65.03 meters

Step-by-step explanation:

The line of best fit, for the distance of the winning throw, in x years after 1980 is:

$y = 0.34x + 44.63$

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.

1980 - 1920 = 60, so this is y(60).

$y(60) = 0.34(60) + 44.63 = 65.03$

So the answer is 65.03 meters.