Question

the graph shows the winning times (in minutes) of a certain international track race, together with a linear approximation of the data. (a) an equation for a linear model, based on data from 1912–2016 (where x represents the year), is y = -0.01721x + 47.35. determine the slope. what does the slope represent? why is the slope negative? (b) what might be the reason there are no data points for the years 1916, 1940, and 1944? (c) the winning time for the 2000 race was 13.22 minutes. what does the model predict, and how far is the prediction from the actual value? (b) what might be the reason there are no data points for the years 1916, 1940, and 1944? choose the best answer below. a. due to the scarcity of automobiles in these years, race events could not be established. b. sporting events took the place of running races. c. due to many countries being at war, there were no race events in those years. d. bicycling was more popular in 1916, 1940, and 1944 than running.

Explanation:

The years 1916, 1940, and 1944 correspond to periods of major global conflicts (World War I, World War II). During wartime, many international sporting events, including track races, were likely canceled. Option A is incorrect as automobiles aren't relevant to track races. Option B is vague and not tied to historical context. Option D about bicycling popularity doesn't explain the absence of track race data. Option C aligns with historical war periods affecting sporting events.

Answer:

C. Due to many countries being at war, there were no race events in those years.