5272道题目5525 条题源记录 · 相同内容已合并
线性建模・解释与预测挑战
The equation \( d=20w+100 \) gives the total amount of money d, in dollars, that Janna plans to save w weeks after she starts to save. What is the total amount of money, in dollars, she plans to save in 10 weeks?
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线性建模・解释与预测进阶
To purchase a used car at a total price of 13,000 dollars, a onetime down payment is required, and then fixed monthly payments are made for the remaining amount owed for the car. The equation \( 13,000=2,600+260t \) represents this situation, where t is the number of fixed monthly payments that are made. Which of the following is the best interpretation of 260 in this context?
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线性建模・解释与预测挑战
\( H=2.419L+22.83 \)
A group of biology students conducted an experiment to study the relationship between a person's femur length and the person's height. The given equation describes the relationship between the length L, in inches, of a student's femur and the student's estimated height H, in inches, for the students in the group. Which of the following is the best interpretation of 2.419 in this context?
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线性建模・解释与预测挑战
A bookstore is giving away free books every day. The equation \( f(x)=162-9x \) gives the number of free books, \( f(x) \), that remain to be given away after x days. Which of the following is the best interpretation of \( f(18)=0 \) in this context?
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线性建模・解释与预测挑战
As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function \( f(x)=32-0.17x \) gives the estimated height, in centimeters (cm), of the water in the glass x days after the start of the experiment. Which of the following is the best interpretation of 32 in this context?
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线性建模・解释与预测进阶
On January 1, 2000, the population of a town was 26,257 and on January 1, 2010, the population was 26,858. The equation \( 10x+26,257=26,858 \) describes this situation. Which of the following is the best interpretation of x in this context?
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线性建模・解释与预测进阶
The function w models the weight, in ounces, of the remaining solid wax of a burning candle as a function of the time x , in hours, after the candle was lit. The graph of \( y=w(x) \) is shown. According to the model, what was the weight, in ounces, of the candle's remaining solid wax 12 hours after the candle was lit?
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线性建模・解释与预测挑战
A cable company charges new customers a onetime installation fee and a monthly service fee for cable service. The equation \( y=50x+120 \) gives the total amount y, in dollars, the cable company charges new customers for x months of cable service. What is the amount, in dollars, of the onetime installation fee the cable company charges new customers?
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线性建模・解释与预测挑战
A bookstore is giving away free books every day. The equation \( f(x)=200-10x \) gives the number of free books, \( f(x) \), that remain to be given away after x days. Which of the following is the best interpretation of \( f(20)=0 \) in this context?
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线性建模・解释与预测挑战
Sunspots are temporary dark spots on the surface of the Sun. The monthly mean number of sunspots for a calendar month is the average of the number of sunspots observed each day during the month. The linear function s models the monthly mean number of sunspots as a function of the number of months, x, since December 2013, where \( 0\le x\le30 \) . The graph of \( y=sx \) is shown.
Which of the following is the best estimate for the monthly mean number of sunspots in December 2014?
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线性建模・解释与预测进阶
A rectangle has a length that is 70 times its width. The function \( y=\left(70w\right)\left(w\right) \) 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 70w in this context?
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线性建模・解释与预测进阶
A certain gas is placed inside a container with a constant volume. The graph shows the estimated pressure y, in pounds per square inch (psi), of the gas when its temperature is x kelvins.
What is the estimated pressure of the gas, in psi, when the temperature is 500 kelvins?
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