Problem Solving and Data Analysis-New Redesigned SAT
- A student creates an equation to estimate his GPA based on his SAT score. Even with an SAT score of 0, the student still has a baseline GPA of 2.4. As his SAT score increases by 4 points, his GPA increases by 3.2 points. Choose the equation that best models this situation
A) SAT= 2.4+(3.2)GPA
B) SAT= 0.8+(2.4)GPA
C) GPA=0.8+(2.4)SAT
D) GPA=2.4+(0.8)SAT
E) SAT=2.4+(0.8)GPA
- What type of graph would the equation in the previous problem represent?
A) Positive linear
B) Negative linear
C) Positive exponential
D) Negative exponential
E) None of the above
- Samuel is trying to model a linear relationship between the hours of homework he does each night (H) and his grades in school (G). He finds that when he does not study at all, he still has an average of 65. Even though he realizes this, he wants to do better and thinks that spending more hours doing homework every night will improve his grades. He eventually discovers that spending 5 hours per night on homework results in an average of 95 in school. Find the equation for this situation.
A) 5G-H=95
B) 4G-6H=120
C) G-5H=65
D) 2G-12H=130
E) 6G-5H=95
- How much would the slope change if 5 hours of studying only gave Samuel an average of 80?
A) The slope would increase by 3
B) The slope would be doubled
C) The slope would be halved
D) The slope would decrease by 4
E) The slope would increase by 4
- Many economists think that the price of oil is inversely related to stock prices. Suppose that the stock market has a base value of 5,000 points even when oil is free or the price of oil is zero. Years later, economists realize that the actual base value of the stock market when oil is free is 7500. Which of the following describes the change in the graphical representation of stock market value and oil prices?
A) The y-intercept would increase by 150%
B) The y-intercept would decrease by about 66%
C) The slope would decrease
D) Both b and c
E) Both a and c
- A food blogger from America travels to England to critique English cuisine. When eating out, the blogger buys a dish that costs 22.50 British Pounds. There is an additional 12% sales tax. The blogger spends 37.65 US Dollars. What is the exchange rate in British Pounds per 1 US Dollar?
A) 0.73
B) 0.67
C) 0.64
D) 0.62
E) 0.58
- Kathy is on vacation in Japan. How much Yen can she get if she only has 100 US Dollars to spend? The exchange rate is 119.48 Yen per 1 US Dollar. There is also a 6% fee on the converted amount.
A) 14682.95
B) 11231.12
C) 12664.96
D) 13476.98
E) 13795.84
- Using the graph below, if China’s population were to stabilize at 1.4 billion and India’s population linearly increased, at what year will India’s population be double of China’s?[1]
A) 2078
B) 2092
C) 2166
D) 2193
E) 2118
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9. Over the past 60 years, the lion population has greatly decreased. Find the equation represented by this graph.
A) y-6000x=100000
B) y-3000x=100000
C) .5y-3000x=200000
D) .5y-1500x=100000
E) y-6000x=200000
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10. A mountain climber needs to prepare for his hike up the mountains of Nevada so he researches the temperature. He finds the following graph which relates the elevation to the temperature.[1] What is the correlation between elevation and temperature?
A) Positive Correlation
B) Negative Correlation
C) No Correlation
D) Parabolic Correlation
E) Not enough data available
- Which of the values is closest to the average temperature decrease per meter according to the line of best fit?
A) 0.001
B) 0.01
C) 0.1
D) 1
E) 10
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