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线性建模・解释与预测进阶
At a school carnival, students can win colored tickets that are worth a different number of points depending on the color. One student won G green tickets and R red tickets worth a total of 520 points. The equation 60G + 70R = 520 represents this situation. How many more points is a red ticket worth than a green ticket?
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线性建模・解释与预测进阶
A model estimates that the population of a state was 4 million in 1980 and increased by 0.041 million each year until 2007. According to the model, what was the estimated population of this state, in millions, 10 years after 1980?
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线性建模・解释与预测进阶
\( w\left(t\right)=300-4t \)
The function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?
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线性建模・解释与预测进阶
\( s=40+3t \)
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 5 seconds after it began to accelerate?
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线性建模・解释与预测挑战
Caleb used juice to make popsicles. The function \( f\left(x\right)=-5x+30 \) approximates the volume, in fluid ounces, of juice Caleb had remaining after making x popsicles. Which statement is the best interpretation of the y-intercept of the graph of \( y=f\left(x\right) \) in the xy-plane in this context?
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线性建模・解释与预测进阶

A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 127,882 quettagrams. The graph shown models the possible combinations of the number of M-type stars, x, and K-type stars, y, that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass. Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster?
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线性建模・解释与预测挑战

The graph shows the estimated boiling point , in degrees Celsius, of a normal paraffin with a molecular weight of x grams per mole, where \( 1\le x\le280 \). Which statement is the best interpretation of the point (149.02, 186.05)?
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线性建模・解释与预测进阶
5G +45R = 380
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points.The given equation represents this situation.How many more points is a red token worth than a green token?
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线性建模・解释与预测进阶

The graph represents the total charge, in dollars, by an electrician for x hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?
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线性建模・解释与预测挑战
A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934.The equation 2x +35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context?
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线性建模・解释与预测挑战
Keenan made 32 cups of vegetable broth.Keenan then filled x small jars and y large jars with all the vegetable broth he made.The equation 3x +5y = 32 represents this situation. Which is the best interpretation of 5y in this context?
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线性建模・解释与预测挑战
F(x)=
The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins.If a temperature increased by 2.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?
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