可汗学院数学题目-28Scatterplots

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1.The scatterplot to the left displays the percentage,P, of paper consumed in the United States (US)

that has been recycled from1990to 2012, where t represents years since1990. Which of the following equations best models the relationship between years since1990and the percent of consumed paper that has been recycled?

A.P=0.8t+35

B.P=1.3t+35

C.P=1.7t+35

D.P=3t+35

Correct answer: B LEVEL 2

2.Adsila monitored gas prices at her local gas station throughout2014. The scatterplot to the left

shows the price,g, in dollars, for1gallon of gas on various days of the year, where d represents days since January 1,2014. A function that models the data is shown on the graph. Which of the following best approximates the price for1gallon of gas on September12,2014, the255tℎday of the year?

A.$2.55

B.$3.10

C.$3.45

D.$3.50

Correct answer: D LEVEL 2

3.The scatterplot to the left shows the number of moose M, estimated to be living in Minnesota

from2005to2012. Which of the following equations best models the population of moose in Minnesota during this time period, where t represents the years since2005?

A.M=8,593−563t

B.M=10,343−1,842t

C.M=7,923+578t

D.M=5,725+467t

Correct answer: A LEVEL 2

4.The scatter plot drawn at left depicts the price of1gallon of gasoline in the United States (U.S.)

from1980to2008. The graph of a quadratic model that fits this data has a vertex

at(17.24,1.33)(17.24,1.33). What does the vertex tell us about U.S. gas prices?

A.In the year1997, the price for1gallon of gasoline reached its exact maximum value of$1.33.

B.In the year1997, the price for11gallon of gasoline reached its exact minimum value of$1.33.

C.In approximately the year1997, the price for1gallon of gasoline reached its approximate

maximum value of$1.33.

D.In approximately the year1997, the price for11gallon of gasoline reached its approximate

minimum value of$1.33.

Correct answer: D LEVEL 2

5.During the2014-2015season, a statistician collected data on a professional sports team. The

scatterplot to the left shows his findings for the average minutes played per game and the average points scored per game for each player on the team. Which of the following equations best relates minutes played per game,x, and points scored per game,p, for players on this team?

A.p=2x−2

B.p=2x+3

C.p=0.5x−2

D.p=0.5x+3

Correct answer: C LEVEL 2

6.The scatter plot drawn at left depicts the change in the number of women in the United States

Congress from1970to2009. Which of the following is the best exponential model for this data?

A.f(x)=1.056(12.590)x

B.f(x)=12.590 (0.106)x

C.f(x)=12.590(1.056)x

D.f(x)=125.90(1.056)x

Correct answer: C LEVEL 2

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