5272道题目5525 条题源记录 · 相同内容已合并
线性建模・建立方程挑战
A business consultant charge $408 for the first hour and $204 for each additional hour of work. Which of the following functions gives the charge C(h), in dollars, for h hours of work, where h is a positive integer?
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线性建模・建立方程挑战
The cost of renting a piece of equipment is $46n for the first day and $23n 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 ?
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线性建模・建立方程挑战
During a specific 2-hour period of the day, the mean photosynthetic rate, P(x), of a plant species increases at a constant rate in terms of the photochemical energy available, x. During this period, P(300) = 9.5, and the mean photosynthetic rate increases by 0.125 micromoles per meter squared per second (\( μ \) mol • \( m^{-2}s^{-1} \) ) when the photochemical energy available increases by 5\( μ \) mol • \( m^{-2}s^{-1} \). Which equation gives the mean photosynthetic rate, in \( μ \) mol • \( m^{-2}s^{-1} \), in terms of the photochemical energy available, in \( μ \) mol • \( m^{-2}s^{-1} \), during this period?
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线性建模・建立方程进阶
The height of a certain vehicle is 61 inches. The vehicle's length is 3 times its height. Which of the following systems of equations represents this situation, where x is the length of the vehicle, in inches, and y is the height of the vehicle, in inches?
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线性建模・建立方程挑战
For groups of 25 or more people, a museum charges $28 per person for the first 25 people and $17 for each additional person. Which function f gives the total charge, in dollars, for a tour group with n people, where \( n\ge25 \) ?
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线性建模・建立方程挑战
For groups of 6 or more people, a tour guide charges $14 for the first person in the group and $12 for each additional person. Which function g gives the total charge, in dollars, for a tour with a group of n people, where \( n\ge6 \)?
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线性建模・建立方程进阶
A large square has an area of 1,296 square centimeters (cm²). Small squares of area 36 cm² are cut out of the large square one by one. Which function f gives the area of the resulting figure, in cm², after x small squares are cut out?
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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 4,880 cubic centimeters (cm³) of sand and cement, where the ratio of the volume of sand to the volume of cement is 7 to 3. If s represents the volume, in cm³, of sand and c represents the volume, in cm³, of cement that the scientist uses for this batch of bricks, which system of equations represents this situation?
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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 3x 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 \( \frac{3}{10} \) 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?
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线性建模・建立方程挑战
The cost of renting a power washer, is $76 for the first day and $38 for each additional day. Which of the following functions gives the cost C(d) , in doilars, of renting the power washer for d days, where d is a pasitive integer?
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线性建模・建立方程挑战
A chemist mixed x liters of a 4% saline solution with y liters of a 7% saline solution to produce a 6% saline solution. Which equation hest represents this situation? (Assume the volumes of the solutions are additive.)
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线性建模・建立方程进阶
A landscaping company mixes oil with gasoline to power its tools. A chainsaw requires 8 ounces of oil per gallon of gasoline. A lawnmower requires 4 ounces of oil per gallon of gasoline. The company uses a total of 21 ounces of oil in its mixes for the chainsaw and lawnmower. Which of the following equations represents this situation, where x represents the amount of gasoline, in gallons, in the mix for the chainsaw and y represents the amount of gasoline, in gallons, in the mix for the lawnmower?
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