ng the distance Talls (y) for aferent (x) after it was rele a scatterplot and identify the experiment ives dropping Dall 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) 0.5 1 1.5 2 2.5 3 D Distance (meters) | 1.2 4.8 10.4 26.3 35.9 Choose the correct scatterplot below. O A. B. C. D. Ay Q Q 50- 40- Q 30- O 20- 5 O O 10- ° O 0+ 0 1 2 0 2 0 2 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y = + +(x OB. y=x OC. y= + In x OD. y=x²+x X+ OE. y= Ау 50- 40- 301 20- 10- 0- O 17.7 O Ау 50- 40- 30- 20- 10- to O O Ay 50- 40- 30- 20- 10- 0+ O
ng the distance Talls (y) for aferent (x) after it was rele a scatterplot and identify the experiment ives dropping Dall 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) 0.5 1 1.5 2 2.5 3 D Distance (meters) | 1.2 4.8 10.4 26.3 35.9 Choose the correct scatterplot below. O A. B. C. D. Ay Q Q 50- 40- Q 30- O 20- 5 O O 10- ° O 0+ 0 1 2 0 2 0 2 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y = + +(x OB. y=x OC. y= + In x OD. y=x²+x X+ OE. y= Ау 50- 40- 301 20- 10- 0- O 17.7 O Ау 50- 40- 30- 20- 10- to O O Ay 50- 40- 30- 20- 10- 0+ O
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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Question
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)
0.5
1
1.5
2
2.5
3
D
Distance (meters)
1.2
4.8
10.4
26.3
35.9
Choose the correct scatterplot below.
O A.
C.
D.
Ay
50-
40-
30-
20-
10-
X
0-
O
In x
+
x²+x+
(*
O B.
Ay
50-
40-
30-
20-
10-
0-
+ C
O
17.7
50-
40-
O
O
O
O
T T
T
1 2
2 3
3
0
0
1
2 3
0
1 2 3
0 1
What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values.
(Type integers or decimals rounded to three decimal places as needed.)
O A. y= +
Xx
OB. y=
X
OC. y=
O D. y=
OE. y=
30-
20-
10-
0-
50-
40-
30-
20-
10-
0
O
X
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