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2000 Find an exponential function of the form P(t) = yoekt to model the given data. 10) In 1985, the number of female athletes participating in Summer Olympic-Type Games was 550. In 1996, about 3550 participated in the Summer Olympics in Atlanta. Assuming that P(0) = 500 and that the exponential model applies, find the value of k rounded to the hundredths place, and write the function. A) k= 0.17; P(t) = 500e0.17t C) k = 0.16; P(t) = 500e0.16t B) k = 0.19; P(t) = 500e0.19t D) k = 0.17; P(t) = 500e0.27t

2000 Find an exponential function of the form P(t) = yoekt to model the given data. 10) In 1985, the number of female athletes participating in Summer Olympic-Type Games was 550. In 1996, about 3550 participated in the Summer Olympics in Atlanta. Assuming that P(0) = 500 and that the exponential model applies, find the value of k rounded to the hundredths place, and write the function. A) k= 0.17; P(t) = 500e0.17t C) k = 0.16; P(t) = 500e0.16t B) k = 0.19; P(t) = 500e0.19t D) k = 0.17; P(t) = 500e0.27t

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Transcription for Educational Website** --- **Problem 9** Use a graphing calculator to predict about how many books will have been read in the eighth grade. | Grade | Number of Books Read | |-------|----------------------| | 3 | 5 | | 4 | 12 | | 5 | 26 | | 6 | | | 7 | | **Options for Problem 9:** - A) 500 - B) 1000 - C) 3000 - D) 2000 --- **Problem 10** Find an exponential function of the form \( P(t) = 500e^{kt} \) to model the given data. In 1985, the number of female athletes participating in Summer Olympic-Type Games was 550. In 1996, about 3550 participated in these Olympic games in Atlanta. Assuming that \( P(0) = 500 \) and that the exponential model applies, find the value of k rounded to the hundredths place and write the function. **Options for Problem 10:** - A) \( k = 0.17; P(t) = 500e^{0.17t} \) - B) \( k = 0.19; P(t) = 500e^{0.19t} \) - C) \( k = 0.16; P(t) = 500e^{0.16t} \) - D) \( k = 0.17; P(t) = 500e^{0.27t} \) --- **Problem 11** Evaluate the expression: \( \log_{41} 97.52 \) **Options for Problem 11:** - A) 1.9891 - B) 0.8108 - C) 1.2233 - D) 2.3785 --- **Note**: For Problem 9, use the data provided to estimate the progression using a graphing calculator to determine the number of books read in Grade 8. In Problem 10, apply the exponential growth model to predict future trends in female athlete participation, and for Problem 11, compute the logarithmic expression.
Transcribed Image Text:**Transcription for Educational Website** --- **Problem 9** Use a graphing calculator to predict about how many books will have been read in the eighth grade. | Grade | Number of Books Read | |-------|----------------------| | 3 | 5 | | 4 | 12 | | 5 | 26 | | 6 | | | 7 | | **Options for Problem 9:** - A) 500 - B) 1000 - C) 3000 - D) 2000 --- **Problem 10** Find an exponential function of the form \( P(t) = 500e^{kt} \) to model the given data. In 1985, the number of female athletes participating in Summer Olympic-Type Games was 550. In 1996, about 3550 participated in these Olympic games in Atlanta. Assuming that \( P(0) = 500 \) and that the exponential model applies, find the value of k rounded to the hundredths place and write the function. **Options for Problem 10:** - A) \( k = 0.17; P(t) = 500e^{0.17t} \) - B) \( k = 0.19; P(t) = 500e^{0.19t} \) - C) \( k = 0.16; P(t) = 500e^{0.16t} \) - D) \( k = 0.17; P(t) = 500e^{0.27t} \) --- **Problem 11** Evaluate the expression: \( \log_{41} 97.52 \) **Options for Problem 11:** - A) 1.9891 - B) 0.8108 - C) 1.2233 - D) 2.3785 --- **Note**: For Problem 9, use the data provided to estimate the progression using a graphing calculator to determine the number of books read in Grade 8. In Problem 10, apply the exponential growth model to predict future trends in female athlete participation, and for Problem 11, compute the logarithmic expression.
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