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线性建模・解释与预测挑战

The graph gives the estimated population y, in thousands, of a town x years since 2007, where 0≤ x ≤5. Which of the following best describes the increase in the estimated population from x = 0 to x =1?
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线性建模・解释与预测挑战
T(x) = 62 - 8x
The function T estimates the temperature, in degrees Fahrenheit (ºF), in a certain city one day in January, where x is the number of hours after 10 a.m.and 1≤ x ≤5. According to the function, what was the estimated decrease in temperature each hour, in ºF, in this city during this time period?
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线性建模・解释与预测进阶
\( s=10+2t \)
The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 3 seconds after it began to accelerate?
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线性建模・解释与预测进阶
\( W\left(x\right)=2x+30 \)
The function W gives the total time, in minutes, it takes for a gardener to water x plants and mow the grass. According to the function, how many minutes does it take the gardener to mow the grass?
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线性建模・解释与预测进阶
As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function \( f\left(x\right)=39-0.17x \) gives the estimated height, in centimeters (cm), of the water in the glass x days after the start of the experiment. What is the best interpretation of 0.17 in this context?
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线性建模・解释与预测进阶
A total of 263 toothpicks of equal length were used to construct two types of figures: triangles and squares. The triangles and squares were constructed so that no two figures had a common side. The equation \( 3x+4y=263 \) represents this situation, where x is the number of triangles constructed and y is the number of squares constructed. What is the best interpretation of \( \left(x,\ y\right)=\left(21,\ 50\right) \)in this context?
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线性建模・解释与预测挑战
\( F\left(x\right)=\frac{9}{5}\left(x-273.15\right)+32 \)
The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 7.70 kelvins. By how much did the temperature increase, in degrees Fahrenheit?
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线性建模・解释与预测挑战
Audrey's hair will grow at a constant rate from a length of 7 inches to a length of 11 inches. The equation \( 0.6t+7=11 \) describes this situation, where t is the number of months it will take for Audrey's hair to reach a length of 11 inches. Which of the following is the best interpretation of 0.6 in this context?
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线性建模・解释与预测挑战
A rectangle has a length that is 31 times its width. The function \( y=\left(31w\right)\left(w\right) \) 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 31w in this context?
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线性建模・解释与预测进阶
A rectangle has a length that is 72 times its width. The function \( y=\left(72w\right)\left(w\right) \) 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 72w in this context?
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线性建模・解释与预测进阶
\( s=40+2t \)
The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 4 seconds after it began to accelerate?
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线性建模・解释与预测挑战
In one week in 2017, a technician earned a total of $700 by working at her regular job and at a second job doing part-time work. The equation \( 16h+13c=700 \) represents this situation, where h is the number of hours worked at her regular job and c is the number of hours worked at her second job. Which of the following is the best interpretation of 16 in this context?
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