Question

9) The scatter plot shows the winning race times of the Olympic gold medal winners in the 100-meter sprint as a function of time. Tom Burke won the gold medal for the United States at the first ever Olympic Games in 1896. In 2012, Usain Bolt completed the race in 9.63 seconds to win the gold medal for Jamaica The equation of the line of best fit is y = -.013x + 11.14, where o represents the number of years after 1896, and y represents the Olympic Gold medalists times, in seconds, for the 100-meter sprint. What is the best interpretation of the slope of the line of best fit?*

Answer 1

Option A :The time it takes to win an 100 meter sprint decrease by 0.013 seconds every year

Step-by-step explanation

The equation of the line of best fit is given as:

y = -0.013x + 11.14

The general form of a linear equation is given as:

y = mx + c

where m = slope

c = intercept

This means that from the equation of the line of best fit, the slope is -0.013.

Because the slope is negative, it means that the value of the function decreases as x (number of years after 1896) increases.

Therefore, the slope means that the time it takes to win an 100 meter sprint decrease by 0.013 seconds every year. (Option A)