PSAT STATS

The scatterplot displays the percentage, P, of paper consumed in the US that has been recycled from 1990-2012, where t represents years since 1990.  Which of the following equations best models the relationship between years since 1990 and the percent of consumed paper that has been recycled?

• P = 0.8t + 35
• P = 1.3t + 35
• P = 1.7t + 35
• P = 3t + 35

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The scatter plot depicts the price of 1 gallon of gasoline in the US from 1980-2008.  The graph of a quadratic model that fits this data has a vertex at (17.24, 1.33).  What does the vertex tell us about US gas prices?

• In the year 1997, the price for 1 gallon of gasoline reached its exact maximum value of $1.33.
• In the year 1997, the price for 1 gallon of gasoline reached its exact minimum value of $1.33.
• In approximately the year 1997, the price for 1 gallon of gasoline reached its approximate maximum value of $1.33.
• In approximately the year 1997, the price for 1 gallon of gasoline reached it approximate minimum value of $1.33.

• 27
• 46
• 120
• 150

A science textbook has four chapters, each with a number of skills problems and of analysis problems.  A table representing this information is on the left.  Based on the table, which of the following statements is true?

• The relative frequency of analysis problems coming rom chapter 4 is 4/39.
• The relative frequency of analysis problems coming from chapter 2 is 21/89.
• The relative frequency of problems in chapter 1 being skills problems is 12/23.
• The relative fréquence of problems in chapter 2 being skills problems is 2/3.

• 16 beats per minute
• 31 beats per minute
• 62 beats per minute
• 70 beats per minute

• 0
• 125
• 175
• 250

The graph shows the results of a controlled experiment designed by a scientist to determine the effect of magnetic field strength on the growth of sunflower plants.  500 young sunflower plants were randomly assigned to the control or experimental group.  In the control group, the scientist grew 250 sunflower plants under normal local geo-magnetic field conditions (30 microtesla).  In the experimental group, the scientist grew 250 sunflower plants identically except under a lower geomagnetic field (20 microtesla).  Based on the results of this experiment, which conclusion is NOT valid?

• Sunflower plants grown under lower magnetic field conditions were more likely to weight more than sunflower plants grown under normal magnetic field conditions.
• There is evidence of an association between the strength of magnetic field and height in sunflower plants.
• Sunflower plants grown under lower magnetic field conditions were more likely to be taller than sunflower plants grown under normal magnetic field conditions.
• Members of the control group were more likely to grow to less than 100 inches than members of the experimental group.

The graph in the sm-plane approximates the average mileage, m, in miles per gallon, that Deniz's pickup truck gets when she drives at a speed of s miles per hour. What is the best interpretation of the maximum point on the graph?

• Deniz's truck gets a maximum mileage of 18 miles per gallon.
• Deniz's truck gets a maximum mileage of 55 miles per gallon.
• Deniz's truck can drive at a maximum speed of 18 miles per hour.
• Deniz's truck can drive at a maximum speed of 55 miles per hour.

Several English professors categorized the literary works from their seminars by time period and length as shown in the table.  According to the table, what percentage of those books with 500 or more pages are from the 19th century?

• 17%
• 43%
• 50%
• 56%

• 3/20
• 2/9
• 3/5
• 6/11