Question 8
\( 10 \mathrm{pts} \)
The winning time for the men's 400-meter race in each of the Olympic Games from 1976 to 1996 can be modeled by the equation \( y=0.054 x+44.54 \), where \( x \) is the number of years after 1976 and \( y \) is the winning time in seconds. If the relationship continues, which equation could be used to predict the winning time in the year 2020?
\( y=-0.054(24)+44.54 \)
\( y=-0.054(1976)+44.54 \)
\( y=-0.054(2020)+44.54 \)
\( y=-0.054(44)+44.54 \)

Answer

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Answer

Substitute x into the equation: y = 0.054(44) + 44.54

Steps

Step 1 ：Determine the value of x in 2020: x = 2020 - 1976

Step 2 ：Calculate x: x = 44

Step 3 ：Substitute x into the equation: y = 0.054(44) + 44.54