Problem-Solving and Data AnalysisHardExtending an exact exponential fit
Problem-Solving and Data Analysis practice question
The data points (1, 5), (2, 10), (3, 20), and (4, 40) fit an exponential model exactly, with y doubling each time x increases by 1. What y-value does the model give when x = 6?
Answer: 160
Doubling twice more from 40 gives 80 at x = 5 and 160 at x = 6.
Common wrong answers
- If you answered 60
- 60 adds 10 per step, as if the growth were linear.
- If you answered 80
- 80 is the value at x = 5.
- If you answered 320
- 320 is the value at x = 7.
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