i Which of the following statements are true Select all that
(i) Which of the following statements are true? Select all that apply.
A. The data suggest that an exponential model would be appropriate.
B. The data suggest that a linear model would be appropriate.
C. The data shows a constant change from year to year.
D. The data shows a constant growth rate.
E. No model can be inferred from the data provided.
(ii) Use the data from the table to construct the appropriate model to predict the value at future times. What value does your model predict when the time is 10? (Express your answer rounded correctly to the nearest hundredth.) Answer =
| Time | Value | Absolute Change | Relative Change |
| 0 | 45.12 | XXXXX | XXXXX |
| 1 | 47.02 | ||
| 2 | 48.92 | ||
| 3 | 50.82 | ||
| 4 | 52.72 | ||
| 5 | 54.62 |
Solution
linear model
value = 1.9*time + 45.12
change is constant from year to year
constant growth rate
when the time is 10
value = 1.9 *10 +45.12 = 64.12
