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The equation for the line of best fit is shown below. \[ y=\frac{4}{3} x+5 \] Based on the line of best fit, how much time does it take to cover a distance of 85 yards? A. 42 seconds B. 40 seconds C. 60 seconds D. 63 seconds

Ask by Tran Owen. in the United States
Mar 16,2025

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The time it takes to cover 85 yards is 60 seconds.

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The Deep Dive

To find the time to cover a distance of 85 yards using the line of best fit \( y=\frac{4}{3} x+5 \), we need to substitute \( x = 85 \) into the equation. Calculating: \[ y = \frac{4}{3}(85) + 5 = \frac{340}{3} + 5 = \frac{340}{3} + \frac{15}{3} = \frac{355}{3} \approx 118.33 \text{ seconds} \] It appears there's been a misunderstanding. Let's consider whether the choices match potential calculations using a different value for \( x \) or check the equation again. Make sure the equation is interpreted correctly and that distance in yards corresponds appropriately to how the line of best fit relates to time.

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