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线性建模・解释与预测进阶
The graph shows the total amount of rainfall y, in centimeters, from the start of a 10-hour period, where x is the number of hours after the start of the period. Which of the following statements about the rainfall during this time period is true?
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线性建模・解释与预测挑战
The function t gives the estimated melting temperature, in degrees Celsius, of a DNA molecule as a function of the percent of guanine-cytosine (GC) content, x, in the DNA molecule. The graph of \( y=t(x) \) is shown. According to the graph, which of the following statements is NOT true?
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线性建模・解释与预测挑战
Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants, the equation \( y=0.67x+2.6 \) , where \( 20\le x\le110 \) , gives the predicted number of larvae, y, in the colony. If one of these colonies has 39 worker ants, which of the following is closest to the predicted number of larvae in the colony?
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线性建模・解释与预测进阶
The function \( f \) defined by \( f(t)=14t+9 \) gives the estimated length, in inches, of a pothos plant t months after Shruti purchased it. Which of the following is the best interpretation of 9 in this context?
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线性建模・解释与预测进阶
The graph models the number of online newsletter subscribers at the end of every six-month period, where x is the number of six-month periods since the end of January 1995 and \( 0\le x\le4 \). Which statement is the best interpretation of the point (1, 600) in this context?
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线性建模・解释与预测进阶
The equation \( d=37w+100 \) gives the total amount of money d, in dollars, that Janna plans to save w weeks after she starts to save. What is the total amount of money, in dollars, she plans to save in 10 weeks?
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线性建模・解释与预测进阶
\( f\left(x\right)=7x+9 \)
The function \( f \) gives the estimated height, in feet, of a poplar tree x years after its height was first measured. Which statement is the best interpretation of 9 in this context?
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线性建模・解释与预测挑战
A linear model estimates the population of a city from 1993 to 2017. The model estimates the population was 52 thousand in 1993, 219 thousand in 2013, and x thousand in 2017. To the nearest whole number, what is the value of x?
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线性建模・解释与预测进阶
Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony’s structure. For any of these colonies, if the colony has x worker ants, the equation \( y=0.67x+2.6 \), where \( 20\le x\le110 \), gives the predicted number of larvae, y, in the colony. If one of these colonies has 35 worker ants, which of the following is closest to the predicted number of larvae in the colony?
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线性建模・解释与预测进阶
\( 19.5x+24.25y=583 \)
Odalys ordered mulch and river rock, which cost a total of $583, for her home. The given equation represents the relationship between the number of cubic yards of mulch, x, and the number of tons of river rock, y, Odalys ordered. How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?
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线性建模・解释与预测进阶
\( f(x)=7x+3 \)
The function \( f \) gives the estimated height, in feet, of a willow tree x years after its height was first measured. Which statement is the best interpretation of 3 in this context?
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线性建模・解释与预测进阶
A rectangle has a length that is 73 times its width. The function \( y=(73w)(w) \) represents this situation, where y is the area, in square feet, of the rectangle and \( y>0 \). Which of the following is the best interpretation of 73w in this context?
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