Problem-Solving and Data AnalysisHardGrowth factor from a table
Problem-Solving and Data Analysis practice question
x | y
1 | 2
2 | 4
3 | 8
The table shows the value of y for three consecutive values of x. Each time x increases by 1, y is multiplied by the same factor. What is that factor?
Answer: 2
4/2 = 2 and 8/4 = 2: y doubles with each step in x. The factor is 2. (The relationship is y = 2ˣ.)
Common wrong answers
- If you answered 3
- 3 is the number of rows, or the last x-value.
- If you answered 4
- 4 is the difference between the last two y-values (8 − 4), not the ratio.
- If you answered 8
- 8 is the last y-value, not the factor.
More Problem-Solving and Data Analysis questions
- Hard
The mean of five numbers is 12. If four of them are 8, 10, 14, and 16, what is the fifth number? - Hard
In a survey of 50 people, 30 like coffee, 20 like tea, and 8 like both. How many like neither? - Hard
A car travels at 60 mph for 2 hours, then 40 mph for 3 hours. What is its average speed for the whole trip? - Hard
Which statement correctly compares the standard deviations of the two sets? - Hard
Which statement best interprets the slope of the line of best fit? - Hard
How many milliliters of the 40% acid solution must the chemist add?
Not affiliated with the College Board. SAT is a trademark of the College Board.