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线性建模・解释与预测进阶

\( f\left(x\right)=5x+7 \) 
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 \( 7 \) in this context?
原库参考解析
2024年6月北美A卷 · 原库模块 1 · Q7作答 ↗
线性建模・解释与预测进阶

As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function \( f\left(x\right)=39-0.21x \)  gives the estimated height, in centimeters cm, of the water in the glass x days after the start of the experiment. What is the best interpretation of 0.21 in this context?
原库参考解析
2024年8月北美A卷 · 原库模块 1 · Q11作答 ↗
线性建模・解释与预测进阶

A total of 234 toothpicks of equal length were used to construct two types of figures: triangles and squares. The triangles and squares were constructed so that no two figures had a common side. The equation 3x + 4y = 234 represents this situation, where x is the number of triangles constructed and y is the number of squares constructed. What is the best interpretation of (x, y) = (18, 45) in this context?
原库参考解析
2024年8月北美A卷 · 原库模块 1 · Q5作答 ↗
线性建模・解释与预测进阶

The Mars Perseverance rover is a robot designed to collect samples of rock and soil. During an experiment, the rover moves at a constant speed on a straight path toward a designated target. The equation \( y=500-145x \) gives the rover's remaining distance from its target y, in meters, x hours after the start of the experiment. What is the best interpretation of 500 in this context?
原库参考解析
2024年8月北美B卷 · 原库模块 1 · Q9作答 ↗
线性建模・解释与预测挑战

A linear model estimates the population of a city from 1992 to 2016. The model estimates the population was 53 thousand in 1992, 224 thousand in 2012, and x thousand in 2016. To the nearest whole number, what is the value of x?
原库参考解析
2024年8月北美B卷 · 原库模块 2 · Q8作答 ↗
线性建模・解释与预测进阶

\( p\left(x\right)=146-5x \) 
The function p shown gives the number of blank sheets of paper, p(x), remaining in a printer x days after the printer had been loaded with paper. Which statement is the best interpretation of p(8) = 106?
原库参考解析
2024年8月北美D卷(易) · 原库模块 1 · Q14作答 ↗
线性建模・解释与预测挑战

题目图表
The graph models the population, in thousands, of a town x years since 2003, where \( 0\le x\le15 \) . Which statement is the best interpretation of the point (1, 4.24)?
原库参考解析
2024年8月北美D卷(易) · 原库模块 2 · Q6作答 ↗
线性建模・解释与预测挑战

H = 2.408L + 23.16
A group of biology students conducted an experiment to study the relationship between a person's femur length and the person's height. The given equation describes the relationship between the length L , in inches, of a student's femur and the student's estimated height H, in inches, for the students in the group. Which of the following is the best interpretation of 2.408 in this context?

原库参考解析
2024年10月北美A卷 · 原库模块 2 · Q10作答 ↗
线性建模・解释与预测进阶

题目图表
The graph shows the estimated boiling pointy, in degrees Celsius, of a straight-chain alkane with a molecular weight of x grams per mole, where \( 1\le x\le280 \). Which statement is the best interpretation of the point (150.28, 188.26)?
原库参考解析
2024年10月北美B卷 · 原库模块 1 · Q11作答 ↗
线性建模・解释与预测挑战

19.5x + 27.25y = 8374
Odalys ordered mulch and river rock, which cost a total of 8374, for her home. The given equation represents the relationship between the mumber 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 ruck cost Odalys than a cubic yard of mulch?

原库参考解析
2024年10月北美B卷 · 原库模块 2 · Q7作答 ↗
线性建模・解释与预测进阶

The function \( t\left(x\right)=-3x+74 \) gives the estimated temperature, in degrees Fahrenheit, of a town x hours after 6 p.m., where \( 0\le x\le5 \). What is the best interpretation of \( −3 \) in this context?
原库参考解析
2024年11月北美A卷 · 原库模块 1 · Q4作答 ↗
线性建模・解释与预测挑战

As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function \( f\left(x\right)=38-0.22x \) gives the estimated height, in centimeters (cm), of the water in the glass x days after the start of the experiment. Which of the following is the best interpretation of 38 in this context?
原库参考解析
2024年10月A卷 · 原库模块 2 · Q1作答 ↗