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线性建模・建立方程挑战

A linear function \( f \) gives a company's profit, in dollars, for selling x items. The company's profit is $170 when it sells 4 items, and its profit is $590 when it sells 10 items. Which equation defines ?
原库参考解析
2024年11月A卷 · 原库模块 2 · Q4作答 ↗
线性建模・建立方程进阶

Casey is raising h horses and g goats. Each horse requires 2 acres of land, and each goat requires 1 acre of land. The h horses and g goats require a total of 21 acres of land. Which equation represents this situation?
原库参考解析
2024年11月B卷(易) · 原库模块 1 · Q4作答 ↗
线性建模・建立方程进阶

A chemist mixed x liters of a 2% saline solution with y liters of a 5% saline solution to produce a 3% saline solution. Which equation best represents this situation? (Assume the volumes of the solutions are additive.)
原库参考解析
2024年11月C卷练习 · 原库模块 1 · Q10作答 ↗
线性建模・建立方程挑战

The gas mileage of a certain car is 35 miles per gallon when driven on the highway. If the car begins with 10 gallons of gas in the tank, which function predicts the amount of gas remaining in the tank, \( f\left(d\right) \), after the car is driven d miles on the highway?
原库参考解析
2024年11月C卷练习 · 原库模块 2 · Q5作答 ↗
线性建模・建立方程进阶

Raheem bought 9 shirts that were each the same price. He used a coupon for $54 off the entire purchase. The cost for the entire purchase after using the coupon was $108. What was the original price, in dollars, for 1 shirt?
原库参考解析
2024年12月A卷 · 原库模块 1 · Q12作答 ↗
线性建模・建立方程挑战

A book-of-the-month club charges $13 for the first book purchased during the month and an additional $11 for each book after the first. Which equation describes this situation, where y is the total cost, in dollars, for books purchased during a month, x is the number of books purchased during the month, and \( x>0 \)?
原库参考解析
2024年12月A卷 · 原库模块 2 · Q14作答 ↗
线性建模・建立方程挑战

A partially filled container containing 24 milliliters of water is placed under a leaky faucet that produces one 0.03-milliliter drop of water every 3 seconds. Until the container is full, which of the following can be used to represent the volume v, in milliliters, of water in the container t seconds after it is placed under the faucet, where t is a multiple of 3?
原库参考解析
2024年12月B卷 · 原库模块 2 · Q14作答 ↗
线性建模・建立方程进阶

The gas mileage of a certain car is 22 miles per gallon when driven on the highway. If the car begins with 8 gallons of gas in the tank, which function predicts the amount of gas remaining in the tank, f (d), after the car is driven d miles on the highway?
原库参考解析
2024年3月A卷 · 原库模块 1 · Q13作答 ↗
线性建模・建立方程进阶

Dan bought some apples and oranges. The apples cost $0.79 per pound, and the oranges cost $0.99 per pound. If Dan spent $24.93 in total and bought twice as many pounds of oranges as pounds of apples, how many pounds of oranges did Dan buy?
原库参考解析
2024年3月A卷 · 原库模块 1 · Q7作答 ↗
线性建模・建立方程挑战

At a constant temperature, a scuba diver combines two different concentrations of nitrox mix (oxygen-nitrogen gas mixture) to fill a tank to a total pressure of 90 atmospheres (atm), of which 37% is contributed by oxygen. Nitrox mix A contributes x atm of pressure to the tank, of which 22% is contributed by oxygen. Nitrox mix B contributes y atm of pressure to the tank, of which 49% is contributed by oxygen. Which system of equations represents this situation?
原库参考解析
2024年3月A卷 · 原库模块 2 · Q11作答 ↗
线性建模・建立方程进阶

The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3, is $1,100, which equation represents this situation?
原库参考解析
2024年3月B卷 · 原库模块 1 · Q13作答 ↗
线性建模・建立方程挑战

题目图表
The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?
原库参考解析
2024年3月B卷 · 原库模块 2 · Q4作答 ↗