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A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x +



for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the y-intercept mean in this context?

ResponsesA botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x +



for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the y-intercept mean in this context?

ResponsesA botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x + 1/2





for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the y-intercept mean in this context?

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Verified Answer :

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In this context, the y-intercept of the equation y = x + 1/2 represents the initial height of the sunflowers when time is zero. Since the equation includes a constant term of 1/2, it indicates that the sunflowers had a starting height of 1/2 feet when the botanist began collecting data on their growth. This means that at the beginning of the observation period, the sunflowers were already at a height of 1/2 feet.