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线性建模・解释与预测进阶

A rectangle has a length that is 24 times its width. The function y=(24w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y > 0. Which of the following is the best interpretation of 24w in this context?
原库参考解析
2024年3月A卷 · 原库模块 1 · Q11作答 ↗
线性建模・解释与预测进阶

A linear model estimates the population of a city from 1992 to 2016. The model estimates the population was 61 thousand in 1992, 217 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3月A卷 · 原库模块 1 · Q17作答 ↗
线性建模・解释与预测挑战

Kenny engages in up to 3 types of exercise each week for a total of 6 hours while training for a triathlon. Kenny swims for the same number of minutes each week. The equation \( y=360-x-170 \)  represents the situation where Kenny bikes for x minutes during a week and runs for any remaining training time y, in minutes. If this equation is graphed in the xy-plane, which statement is the best interpretation of the x-intercept of the graph?
原库参考解析
2024年3月A卷 · 原库模块 2 · Q17作答 ↗
线性建模・解释与预测进阶

22.5x+ 26.75y=242
Odalys ordered mulch and river rock, which cost a total of $242, for her home. The given equation represents the relationship between the number 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 rock cost Odalys than a cubic yard of mulch?

原库参考解析
2024年3月B卷 · 原库模块 1 · Q15作答 ↗
线性建模・解释与预测进阶

g(m)= -0.05m+12.4
The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles, According to the model, about how many gallons of gasoline are used to drive each mile?

原库参考解析
2024年3月B卷 · 原库模块 1 · Q9作答 ↗
线性建模・解释与预测进阶

题目图表
The graph models the population, in thousands, of a town x years since 2004, where 0 < x < 15. Which statement is the best interpretation of the point (1, 3.21)?
原库参考解析
2024年3月C卷练习 · 原库模块 1 · Q12作答 ↗
线性建模・解释与预测进阶

A family has money in an account for renting movies online. Each time the family rents a movie, the cost of the rental is withdrawn from the account, and each rental costs the same amount of money. The function f (m)= 32- 4m gives the amount of money, in dollars, in the account after the family has rented m movies. Which of the following represents the amount of money, in dollars, withdrawn from the account each time the family rents a movie?
原库参考解析
2024年3月C卷练习 · 原库模块 1 · Q20作答 ↗
线性建模・解释与预测挑战

Elise used x packs of red beads and y packs of green beads to make 13 bracelets. She used a total of 260 red and green beads. The equation 45x  + 25y = 260 represents this situation. Which is the best interpretation of 25y in this context?
原库参考解析
2024年3月D卷 · 原库模块 2 · Q15作答 ↗
线性建模・解释与预测挑战

The function f(x) = 7x + 287 predicts the total number of brown sparrows in a certain region x months after the initial observation. Which statement best interprets the y-intercept of the graph of y = f(x) in the xy-plane in this context?
原库参考解析
2024年3月D卷 · 原库模块 2 · Q1作答 ↗
线性建模・解释与预测进阶

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants,  the equation y = 0.67x +2.6, where 20≤ x ≤110, gives the predicted number of larvae, y, in the colony. If one of these colonies has 46 worker ants, which of the following is closest to the predicted number of larvae in the colony?
原库参考解析
2024年5月A卷 · 原库模块 1 · Q11作答 ↗
线性建模・解释与预测进阶


题目图表
In 2000, a census was taken to determine the population of a certain town. The graph gives the estimated population y, in thousands, of this town x years after the 2000 census was taken, where 0 ≤ x ≤ 5. Based on the graph, which of the following is the closest to the estimated population 2 years after the 2000 census was taken?
原库参考解析
2024年5月A卷 · 原库模块 1 · Q5作答 ↗
线性建模・解释与预测挑战

题目图表
A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 132,778 quettagrams. The graph shown models the possible combinations of the number of M-type stars, x, and K-type stars, y, that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass.Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster?
原库参考解析
2024年5月A卷 · 原库模块 2 · Q12作答 ↗