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线性建模・解释与预测基础


题目图表
A bank account was opened with an initial deposit. Over the next several months, regular deposits were made into this account, and there were no withdrawals made during this time. The graph of the function f shown, where y= f(x), estimates the account balance, in dollars, in this bank account x months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?
原库参考解析
Bluebook试题6 · 原库模块 3 · Q14作答 ↗
线性建模・解释与预测进阶

The function \( f\left(x\right) \) is defined as 19 more than 4 times a number x. If \( y=f\left(x\right) \)  is graphed in the xy-plane, what is the best interpretation of the x-intercept?
原库参考解析
Bluebook试题7 · 原库模块 1 · Q21作答 ↗
线性建模・解释与预测进阶

题目图表
The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?
原库参考解析
Bluebook试题7 · 原库模块 1 · Q3作答 ↗
线性建模・解释与预测进阶

At a state fair, attendees can win tokens that are worth a different number of points depending on the shape. One attendee won S square tokens and C circle tokens worth a total of 1,120 points. The equation \( 80S+90C=1,120 \) represents this situation. How many more points is a circle token worth than a square token?
原库参考解析
Bluebook试题7 · 原库模块 1 · Q8作答 ↗
线性建模・解释与预测进阶

A certain township consists of a 5-hectare industrial park and a 24-hectare neighborhood. The total number of trees in the township is 4,529. The equation \( 5x+24y=4,529 \) represents this situation. Which of the following is the best interpretation of x in this context?
原库参考解析
Bluebook试题9 · 原库模块 1 · Q14作答 ↗
线性建模・解释与预测基础

Keenan made 32 cups of vegetable broth. Keenan then filled x small jars and y large jars with all the vegetable broth he made. The equation \( 3x+5y=32 \) represents this situation. Which is the best interpretation of 5y in this context?
原库参考解析
Bluebook试题9 · 原库模块 2 · Q20作答 ↗
线性建模・解释与预测挑战

5G +45R =380
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?
原库参考解析
Linear equations in two variables · 原库模块 1 · Q17作答 ↗
线性建模・解释与预测挑战

Keenan made 32 cups of vegetable broth. Keenan then filled x small jars and y large jars with all the vegetable broth he made. The equation 3x +5y =32 represents this situation. Which is the best interpretation of 5y in this context?
原库参考解析
Linear equations in two variables · 原库模块 1 · Q9作答 ↗
线性建模・解释与预测挑战

\( F\left(x\right)=\frac{9}{5}\left(x-273.15\right)+32 \) 

The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 2.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?
原库参考解析
Linear functions · 原库模块 1 · Q10作答 ↗
线性建模・解释与预测挑战

An object hangs from a spring. The formula l =30+2w relates the length l , in centimeters, of the spring to the weight w, in newtons, of the object. Which of the following describes the meaning of the 2 in this context?
原库参考解析
Linear functions · 原库模块 1 · Q13作答 ↗
线性建模・解释与预测挑战

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the demand was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?
原库参考解析
Linear functions · 原库模块 1 · Q2作答 ↗
线性建模・解释与预测挑战

\( F\left(x\right)=\frac{9}{5}\left(x-273.15\right)+32 \) 

The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?
原库参考解析
Linear functions · 原库模块 1 · Q4作答 ↗