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线性建模・建立方程进阶

A veterinarian recommends that each day a certain cat should eat 31 calories per pound of the cat's weight, plus an additional 14 calories. Which equation represents this situation, where c is the total number of calories the veterinarian recommends the cat should eat each day if the cat's weight is x pounds?
原库参考解析
2024年3月C卷练习 · 原库模块 1 · Q1作答 ↗
线性建模・建立方程进阶

Javier deposits $45 in a savings account at the end of each week. At the beginning of the 1st week of a year there was $700 in that savings account. How much money, in dollars, will be in the account at the end of the 6th week of the year?
原库参考解析
2024年5月A卷 · 原库模块 1 · Q3作答 ↗
线性建模・建立方程挑战

The cost of renting a piece of equipment is $64n for the first day and $32n for each additional day, where n is a positive integer Which of the following functions gives the cost C(x), in dollars, of renting this equipment for x days, where x is a positive integer?
原库参考解析
2024年5月A卷 · 原库模块 2 · Q21作答 ↗
线性建模・建立方程进阶

A computer repair specialist charges $160 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 4 hours of repair is $240. Which function f gives the total cost, in dollars, for x hours of repair; where x \( \ge \)  2?
原库参考解析
2024年5月B卷练习 · 原库模块 1 · Q22作答 ↗
线性建模・建立方程挑战

The cost of renting a piece of equipment is $78n for the first day and $39n for each additional day, where n is a positive integer. Which of the following functions gives the cost C(x), in dollars, of renting this equipment for x days, where x is a positive integer?
原库参考解析
2024年5月C卷 · 原库模块 2 · Q21作答 ↗
线性建模・建立方程挑战

A carpenter charges a flat rate of $228 for the first 2 hours of work and $95 for each additional hour of work. Which equation gives the total amount y, in dollars, that the carpenter charges for x hours of work, where x > 2?
原库参考解析
2024年6月A卷 · 原库模块 2 · Q16作答 ↗
线性建模・建立方程挑战

The cost of renting a power washer is $56 for the first day and $28 for each additional day. Which of the following functions gives the cost C(d), in dollars, of renting the power washer for d days, where d is a positive integer?
原库参考解析
2024年6月B卷 · 原库模块 2 · Q21作答 ↗
线性建模・建立方程挑战

Lao walks at a speed of 2 miles per hour and runs at a speed of 6 miles per hour. He walksfor w hours and runs for r hours for a combined total of 10 miles. Which equation represents this situation?
原库参考解析
2024年6月B卷 · 原库模块 2 · Q3作答 ↗
线性建模・建立方程挑战

The cost of renting a piece of construction equipment for up to 5 days is $230 for the first day and $115 for each additional day. Which of the following equations gives the cost y, in dollars, of renting the equipment for x days, where x is a positive integer and x ≤5?
原库参考解析
2024年6月C卷练习 · 原库模块 1 · Q20作答 ↗
线性建模・建立方程进阶

An aquarium uses small and large tanks to temporarily hold a total of 87 fish. Each small tank holds 1 fish, and each large tank holds 2 fish. Which equation represents this situation, where s is the number of small tanks and b is the number of large tanks the aquarium uses?
原库参考解析
2024年8月A卷 · 原库模块 1 · Q5作答 ↗
线性建模・建立方程挑战

A scientist makes batches of bricks using different sand-to-cement ratios to test how the sand-to-cement ratio affects the strength of the brick. For one batch of bricks, the scientist uses 4,890 cubic centimeters (\( cm^3 \) ) of sand and cement, where the ratio of the volume of sand to the volume of cement is 4 to 1. If s represents the volume, in \( cm \)\( ^{3} \), of sand and c represents the volume, in \( cm \)\( ^{3} \), of cement that the scientist uses for this batch of bricks, which system of equations represents this situation?
原库参考解析
2024年8月A卷 · 原库模块 2 · Q21作答 ↗
线性建模・建立方程挑战

A certain elephant calf weighed 226 pounds when it was born. The elephant calf gained an average of 3 pounds per day in its first year of life. Which equation models this situation, where y is the estimated weight of the elephant calf, in pounds, x days after it was born?
原库参考解析
2025年3月国际A卷 · 原库模块 2 · Q2作答 ↗