QUESTION IMAGE
Question
determine whether each situation would be better modeled by a linear function or an exponential function.
linear exponential
joes savings increase by 10% every year.
the number of people who do not have a smartphone is decreasing by $\frac{1}{8}$ each year.
chad makes $15 per hour at his summer job.
each cup of pancake mix makes exactly 6 pancakes.
Brief Explanations
- A 10% annual increase means growth is proportional to the current amount, which is exponential.
- A decrease of $\frac{1}{8}$ (12.5%) of the current number yearly is proportional decay, so exponential.
- Earnings increase by a fixed $15 per hour, a constant rate, which is linear.
- Each cup makes a fixed 6 pancakes, a constant rate of change, which is linear.
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| Situation | Linear | Exponential |
|---|---|---|
| The number of people who do not have a smartphone is decreasing by $\frac{1}{8}$ each year. | X | |
| Chad makes $15 per hour at his summer job. | X | |
| Each cup of pancake mix makes exactly 6 pancakes. | X |