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线性建模・建立方程挑战

A manager is responsible for ordering supplies for a coffee shop. The shop's inventory starts with 6,500 disposable cups, and the manager estimates that 90 of these cups are used each day. Based on this estimate, in how many days will the supply of disposable cups reach 1,100?
参考答案
2026年6月国际D卷练习 · 原库模块 2 · Q6作答 ↗
线性建模・建立方程挑战

Each side of a 30-sided polygon has one of three lengths. The number of sides with length 4 centimeters (cm) is 5 times the number of sides n with length 8 cm. There are 6 sides with length 3 cm. Which equation must be true for the value of n?
参考答案
2026年6月国际D卷练习 · 原库模块 2 · Q9作答 ↗
线性建模・建立方程进阶
Maya bought stickers and granola bars for $145. Each package of stickers cost $3, and each granola bar cost $1. If Maya bought 25 packages of stickers, how many granola bars did she buy?
参考答案
2026年8月国际A卷 · 原库模块 1 · Q1作答 ↗
线性建模・建立方程挑战
During the month of May, an airport parking garage is offering a special price plan. According to this plan, the cost of parking in the garage for up to 5 days is $18 for the first day and $9 for each additional day. Which of the following equations gives the cost C, in dollars, of parking in the garage for t days, where t is a positive integer and \( t\le5 \)?
参考答案
2026年8月国际A卷 · 原库模块 2 · Q17作答 ↗
线性建模・建立方程进阶
题目图表
Quinidra drove her car on a straight road to a certain location. The graph models Quinidra’s distance, in miles, from her home as a function of time, in hours. Which of the following could the model describe?
参考答案
26年8月国际C卷练习 · 原库模块 1 · Q19作答 ↗
线性建模・建立方程挑战
Each 3.0‑ounce serving of cheddar cheese and each 1.2‑ounce serving of tuna provides about 1 microgram of vitamin B12. If a total of 3.8 micrograms of vitamin B12 are consumed from eating x ounces of cheese and y ounces of tuna, which equation best represents this situation?
参考答案
26年8月国际C卷练习 · 原库模块 2 · Q7作答 ↗
线性建模・建立方程挑战
As a car approaches an intersection, a linear function \( f \) models its speed, in miles per hour (mph), x seconds after the brake is initially applied. According to the function, the car's estimated speed is 23 mph when the brake is initially applied, and the car's estimated speed decreases by 4.1 mph every second after the brake is initially applied. Which equation defines \( f \)?
参考答案
2026年8月美国A卷 · 原库模块 2 · Q16作答 ↗
线性建模・建立方程挑战
A set designer is hammering nails along the top edge of a wall with a length of \( 6x \) feet, where x is an integer, that will be used to hang garland. The designer hammers the first nail at the left edge of the wall. The designer then hammers an additional nail every \( \frac{6}{11} \) feet along the entire length of the wall, starting from the first nail and with the last nail being hammered at the right edge of the wall. Which equation best represents this situation, where y is the number of nails the designer hammers along the entire length of the wall?
参考答案
2026年8月美国A卷 · 原库模块 2 · Q18作答 ↗
线性建模・建立方程挑战
The combined original price for a towel and chair is $40. After a 45% discount to the towel and a 25% discount to the chair are applied, the combined sale price for the two items is $28. Which system of equations gives the original price t, in dollars, of the towel and the original price c, in dollars, of the chair?
参考答案
2026年8月美国A卷 · 原库模块 2 · Q8作答 ↗
线性建模・建立方程进阶
Two candidates ran for the office of mayor of a town. A total of 4,500 votes were cast, and one candidate received twice as many votes as the other. How many votes did the winning candidate receive?
参考答案
2026年9月国际A卷 · 原库模块 1 · Q7作答 ↗
线性建模・建立方程挑战
A moving truck rental company charges its customers $175 for the first hour of renting a truck and $65 for each additional hour, plus the cost of gas used. Which equation represents this situation, where y is the total cost, in dollars, of renting a truck from this company for x hours, w is the cost, in dollars, of gas used, and \( x\ge1 \)?
参考答案
2026年9月国际A卷 · 原库模块 2 · Q12作答 ↗
线性建模・建立方程进阶
A moving truck rental company charges its customers $135 for the first hour of renting a truck and $85 for each additional hour, plus the cost of gas used. Which equation represents this situation, where y is the total cost, in dollars, of renting a truck from this company for x hours, w is the cost, in dollars, of gas used, and \( x\ge1 \)?
参考答案
2026年9月国际B卷 · 原库模块 1 · Q20作答 ↗