5272道题目5525 条题源记录 · 相同内容已合并
线性建模・解释与预测进阶
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?
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线性建模・解释与预测挑战
The equation \( d=6t+210 \) gives the distance d, in feet, from a reference point on the surface of Mars to a Mars rover, where t is the number of minutes after the start of a period of observation. By how many feet does the Mars rover's distance from the reference point increase over a period of 20 minutes?
原库参考解析
线性建模・解释与预测进阶
The graph in the xy-plane models the possible combinations of length x, in meters (m), and width y, in meters, for a rectangle with a perimeter of 26 m. Which statement is the best interpretation of the point \( (4,\ 9) \) in this context?
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线性建模・解释与预测挑战
The equation \( d=8t+210 \) gives the distance d, in feet, from a reference point on the surface of Mars to a Mars rover, where t is the number of minutes after the start of a period of observation. By how many feet does the Mars rover’s distance from the reference point increase over a period of 20 minutes?
原库参考解析
线性建模・解释与预测挑战
\( f(x)=60x+8 \)
The given function \( f \) estimates the distance a train has traveled, in kilometers, from a station in a certain city \( x \) hours after crossing the city border. What is the best interpretation of 8 in this context?
原库参考解析
线性建模・解释与预测进阶
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 \( y=f\left(x\right) \) , 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
线性建模・解释与预测挑战
On January 1,2000, the population of a town was 26,255 and on January 1,2010, the population was 26,950. The equation \( 10x+26,255=26,950 \) describes this situation. Which of the following is the best interpretation of x in this context?
原库参考解析
线性建模・解释与预测进阶
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
线性建模・解释与预测挑战
At the beginning of an experiment, the temperature of a liquid is 23 degrees Celsius (°C). During the first 4.0 minutes of the experiment, the temperature of the liquid increases at an average rate of 6.5°C per minute. Then, the temperature of the liquid increases at a constant rate of 2.4°C per minute. If the temperature of the liquid reaches \( 63^{\circ}\text{C} \) x minutes after the beginning of the experiment, where \( x>4.0 \), which equation represents this situation?
原库参考解析
线性建模・解释与预测挑战
\( \frac{x}{5}+\frac{y}{9}=\frac{47}{45} \)
An engineer connects resistors in series, where the resistors in the series have a total resistance of \( \frac{47}{45} \) 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?
原库参考解析
线性建模・解释与预测进阶
The graph of the function \( f \), where \( y=f(x) \), gives the total cost y, in dollars, for a certain video game system and x games. What is the best interpretation of the slope of the graph in this context?
原库参考解析
线性建模・解释与预测挑战
\( \frac{x}{7}+\frac{y}{5}=\frac{41}{35} \)
An engineer connects resistors in series, where the resistors in the series have a total resistance of \( \frac{41}{35} \) 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?
原库参考解析
