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

Question

Mathematics

Humberto

17 April, 18:59

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

+1

Answers (1)

Know the Answer?

Marianna · Answer 1

Car: Exponential Function

Train: Exponential Function

Step-by-step explanation:

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.