SAT Math Problem-Solving and Data Analysis

The number of zebras in a population in 2018 was 1.27 times the number of zebras in this population in 2014. If the number of zebras in this population in 2014 is p% of the number of zebras in this population in 2018, what is the value of p, to the nearest whole number?

• 79

• 80

• 81

• 82

Answer explanation

The correct answer is 79. Let x represent the number of zebras in the population in 2014 and let y represent the number of zebras in the population in 2018 . It’s given that the number of zebras in this population in 2018 was 1.27 times the number of zebras in this population in 2014 . It follows that the equation y=1.27x represents this situation. Dividing both sides of this equation by 1.27 yields y/1.27=x,. Therefore, the number of zebras in this population in 2014 is 1/1.27 times the number of zebras in this population in 2018. If the number of zebras in this population in 2014 is p% of the number of zebras in this population in 2018 , then x= P/100y . It follows that P is approximately equal to 78.74 . Therefore, the value of , to the nearest whole number, is 79

In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y?

• 0.5600

• 1.0056

• 1.1800

• 1.1856

A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete?

• 18

• 850

• 950

• 1,400

The population of City A increased by 7% from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?

• 0.07

• 0.7

• 1.07

• 1.7

In the given scatterplot, a line of best fit for the data is shown. Which of the following is closest to the slope of this line of best fit?

• 7

• 0.7

• -0.7

• -7

An object has a mass of 168 grams and a volume of 24 cubic centimeters. What is the density, in grams per cubic centimeter, of the object?

• 7

• 144

• 192

• 4,032

If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?

Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year's number. How many students are enrolled in the interior design program this year?

• A. 247

• B. 294

• C. 347

• D. 394

Which of the following could be the median number of employees for the restaurants in this town?

• 2

• 9

• 15

• 21

A customer spent 27$ to purchase oranges at 3$ per pound. How many pounds of oranges did the customer purchase?

• 6 pounds
• 9 pounds
• 15 pounds
• 12 pounds