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线性建模・解释与预测进阶

题目图表
The graph shows the estimated balance of a bank account, in dollars, x years after an initial deposit is made. According to the graph, which of the following is closest to the number of years it took for the estimated balance to increase from the initial deposit to 125 dollars?
原库参考解析
2026年5月国际B卷(易) · 原库模块 1 · Q7作答 ↗
线性建模・解释与预测挑战


The function \( f \) models the resistivity of copper, in nanoohm · meters, as a function of the temperature x, in kelvins, of the copper. The graph of \( y=f(x) \) is shown.
题目图表
According to the model, which of the following statements about the estimated resistivity of copper is true?
原库参考解析
2026年5月国际B卷(易) · 原库模块 2 · Q8作答 ↗
线性建模・解释与预测挑战

\( p(x)=132-4x \) 
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 \( p(6)=108 \)?  
参考答案
2026年6月国际A卷 · 原库模块 2 · Q14作答 ↗
线性建模・解释与预测挑战

\( \frac{x}{7}+\frac{y}{5}=\frac{43}{35} \) 
An engineer connects resistors in series, where the resistors in the series have a total resistance of \( \frac{43}{35} \) ohms. In this series, there are x resistors of type A, which each have a resistance of a ohms, and y resistors of type B, which each have a resistance of b ohms. The given equation represents this situation. According to this equation, what is the positive difference between the value of a and the value of b?
参考答案
2026年6月国际A卷 · 原库模块 2 · Q18作答 ↗
线性建模・解释与预测挑战

题目图表
The graph shows the estimated boiling point y 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 (169.39, 219.86)?
参考答案
2026年6月国际B卷 · 原库模块 2 · Q13作答 ↗
线性建模・解释与预测挑战

A museum exhibit displays 73 artifacts on day 1. On each following day, 3 artifacts are added to the exhibit. The function \( f(x)=3(x-1)+73 \) represents this situation, where \( f(x) \) is the total number of artifacts exhibited at the end of day x. According to the function, what is the number of artifacts that have been added to the exhibit by the end of day x?
参考答案
2026年6月国际B卷 · 原库模块 2 · Q21作答 ↗
线性建模・解释与预测进阶

\( w(w+89) \)
The given expression represents the area, in square centimeters, of a rectangle, where \( w \) represents the width, in centimeters (cm), of the rectangle. What is the best interpretation of \( w+89 \) in this context?

参考答案
2026年6月国际C卷练习 · 原库模块 1 · Q12作答 ↗
线性建模・解释与预测进阶

The equation \( d=17w+100 \) gives the total amount of money d, in dollars, that James plans to save w weeks after he starts to save. What is the total amount of money, in dollars, he plans to save in 10 weeks?
参考答案
2026年6月国际C卷练习 · 原库模块 1 · Q16作答 ↗
线性建模・解释与预测进阶

The equation \( d=25w+100 \) gives the total amount of money d, in dollars, that Jerome plans to save w weeks after he starts to save. What is the total amount of money, in dollars, he plans to save in 10 weeks?
参考答案
2026年6月国际D卷练习 · 原库模块 1 · Q1作答 ↗
线性建模・解释与预测挑战

A museum exhibit displays 69 artifacts on day 1. On each following day, 7 artifacts are added to the exhibit. The function \( f(x)=7(x-1)+69 \)represents this situation, where \( f(x) \) is the total number of artifacts exhibited at the end of day x. According to the function, what is the number of artifacts that have been added to the exhibit by the end of day x ?
参考答案
2026年6月国际D卷练习 · 原库模块 2 · Q22作答 ↗
线性建模・解释与预测进阶
The function \( f(x) \) is defined as 34 more than 5 times a number x. If \( y=f(x) \) is graphed in the xy-plane, what is the best interpretation of the x-intercept?
参考答案
26年8月国际D卷练习 · 原库模块 1 · Q11作答 ↗
线性建模・解释与预测进阶
A model estimates that the population of a state was 4 million in 1980 and increased by 0.041 million each year until 2007.
According to the model, what was the estimated population of this state, in millions, 10 years after 1980?

参考答案
26年8月国际D卷练习 · 原库模块 1 · Q5作答 ↗