Based on her 20-meter split times, a runner's performance during a 200-meter race is modeled by the equation of theline of best fit as y = 11.20x, where x is the time In seconds, and y is the distance in meters. If the race had been run afew minutes earlier when there was a tallwind, it is estimated that her speed would have been 1.02 times the speedglven by the equation of the line of best fit. Which equation would best model for the line of best fit for the runner'sperformance if she had run a few minutes earller?A)y = 10.18xB)y = 11.42xC)y = 11.98xD)y = 12.22x

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CartezZ54831 CartezZ54831 · Answer 1 · 2022-10-29T13:18:04+02:00

B) y=11.42x

Explanation

Step 1

Let

[tex]\begin{gathered} y=f(x) \\ f(x)=11.20\text{ x} \end{gathered}[/tex]

If the race had been run a few minutes earlier when there was a tailwind, it is estimated that her speed would have been 1.02 times the speed

[tex]\text{speed}=\text{ }\frac{dis\tan ce\text{ }}{\text{time}}=\frac{y}{x}=\frac{11.20x}{x}=11.20[/tex]

then

[tex]\begin{gathered} new\text{ speed = old speed}\cdot1.02 \\ \text{new speed=1.02}\cdot11.20=11.42 \end{gathered}[/tex]

so, the answer is

[tex]B)y=11.42x[/tex]