Question

3 mark for review the speed of a car traveling on a highway is being recorded once per second for two minutes. during this time interval, the car gradually speeds up slightly to pass another vehicle, then the car returns to its original speed. the recorded speed of the car with respect to time can be modeled by linear, quadratic, and exponential functions. for each of the three models, their residuals are small and are without pattern. which of the following conclusions is best? a a linear model is best based on contextual clues. b a quadratic model is best based on contextual clues. c an exponential model is best based on contextual clues. d contextual clues fail to help in selecting a model for this contextual situation.

Explanation:

The problem states the car gradually speeds up slightly to pass then returns to original speed. Linear models represent constant rate changes, quadratic models represent changing rates (acceleration/deceleration), and exponential models represent rapid growth/decay. The context of slight speeding up then returning does not clearly align with a single model type, as all three models have small, patternless residuals. Thus, contextual clues do not help select the best model.

Answer:

D. Contextual clues fail to help in selecting a model for this contextual situation.