An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) 1.5 0.5 1 3 Q 2 10.7 18.6 2.5 28.3 Distance (meters) 1.2 4.8 39.5 Choose the correct scatterplot below. O A. Ay 50- 40- 30- 20- 10- 0- 0 0 O ✔ O B. 50- 40- 30- 20- 10- 0- 0 O O O C O C. Ay 50- 40- 30- 20- 10- 0- 2 ✔ O D. Ay 50- 40- 30- 20- 104 0- 0 O T 1 2 Q

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given
data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.
Time (seconds)
1.5
0.5
1
3
Q
2
10.7 18.6
2.5
28.3
Distance (meters)
1.2
4.8
39.5
Choose the correct scatterplot below.
O A.
Ay
50-
40-
30-
20-
10-
0
0
O
O
✔
B.
50-
40-
30-
20-
10-
0-
0
O
O
O
Q
C
O C.
Ay
50-
40-
30-
20-
10-
0-
2
✔
O D.
Ay
50-
40-
30-
20-
10
0-
0
O
T
1
2
Q
Q
Transcribed Image Text:An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) 1.5 0.5 1 3 Q 2 10.7 18.6 2.5 28.3 Distance (meters) 1.2 4.8 39.5 Choose the correct scatterplot below. O A. Ay 50- 40- 30- 20- 10- 0 0 O O ✔ B. 50- 40- 30- 20- 10- 0- 0 O O O Q C O C. Ay 50- 40- 30- 20- 10- 0- 2 ✔ O D. Ay 50- 40- 30- 20- 10 0- 0 O T 1 2 Q Q
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