The speeds of a car and a train after they activate their emergency brakes are represented by the following tables:
Car
Time (seconds) Speed (m/s)
0 69.4
2 34.0
4 16.7
6 8.2
8 4.0

Train

Time (seconds) Speed (m/s)
0 88.9
2 50.1
4 28.1
6 15.8
8 8.5

Determine whether the data for cars is best modeled as a linear function or an exponential fuction.
Determine whether the data for train is best modeled as a linear function or an exponential function

The consecutive differences are quite far from being constant. However, the consecutive ratios are quite close to being constant, being approximately 0.49 for every increase in 2 seconds.Therefore, the speed of the car is best modeled by an exponential function. The consecutive ratios for the trains are quite close to being constant, being approximately 0.56 for every increase in 2 seconds. Therefore, the speed of the train is best modeled by an exponential function.

sheenuvt12 sheenuvt12 · Answer 2 · 2022-07-27T09:45:54+02:00

The data of car is exponential function.

The data of truck is exponential function.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the difference between two consecutive terms is not constant.

but the ratios are quite close to being constant, approximately 0.49 for every increase in 2 seconds.

The consecutive ratios for the trains are 0.56 for every increase in 2 seconds.

Thus, the speed of the car and truck is an exponential function.

Learn more about function here:

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