To find such that we set and solve Question 15 1 1 pts Suppose that a town had

To find such that we set and solve question 15 1 1

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To find such that , we set and solve:
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Question 15 1 / 1 pts Suppose that a town had a population of 12,500 in 2008 and the population has been growing at a constant rate of 4% per year since that time. Choose the expression that best represents the population in the year 2013. Correct! The annual growth rate is . The correct exponential equation has the form where is the initial population (in 2008) and is the number of years since 2008. For this example, . Quiz Score: 9 out of 15 Previous Next Last Attempt Details: Time: 60 minutes Current Score: 9 out of 15 Kept Score: 9 out of 15
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Lesson 1 Quiz Attempts 2 and 3 Due Jan 22 at 11:59pm Points 30 Questions 15 Available after Jan 12 at 12am Time Limit 75 Minutes Allowed Attempts 2 Attempt History Attempt Time Score KEPT Attempt 2 50 minutes 30 out of 30 LATEST Attempt 2 50 minutes 30 out of 30 Attempt 1 40 minutes 24 out of 30 Score for this attempt: 30 out of 30 Submitted Jan 14 at 2:46pm This attempt took 50 minutes.
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Question 1 2 / 2 pts The population of a city, P in millions, is a function of t the number of years since 1990, so P = f(t). Explain the meaning of the statement f(12)=9.1, in terms of the population of this city. In 1990, the population of the city was 9.1 million people. Correct! In 2002, the population of the city was 9.1 million people. In 2002, the population of the city will have grown by 9.1% In 1999, the population of the city was 12 million people. In 1999, the population of the city was 12 people. In 2012 the population of the city was 9.1 million. Question 2 2 / 2 pts Find the equation for the line with slope m=-1 passing through the point (− 12 ,−2) (−12,−2). Correct!
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Question 3 2 / 2 pts Which of the following tables give a linear relationship between x and y? I. x 0 2 4 6 y 1 -1 1 3 II. x 0 2 4 6 y 4 0 -4 -8 III. x 0 2 4 6 y 1 2 4 8 Correct! II. only. All are linear. II. and III. only.
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III. only. I. and II. only. Only the relationship in II. is linear. In I., is sometimes decreasing and sometimes increasing. In III. the relationship is exponential. Question 4 2 / 2 pts Let f(x)=1−x 2 −−−−−√ f(x)=1−x2. Calculate f(x+h) f(x+h). Correct! Plug in for and simplify: Question 5 2 / 2 pts
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Calculate the average rate of change of f(t)=5t 3 −t f(t)=5t3−t on the interval [−1,1] [−1,1]. Correct! The average rate of change of over the interval is Question 6 2 / 2 pts Find the relative change of the quantity T if T changes from 0.7 to 0.05. Reminder: calculator can be used on quizzes if needed. approx 1.30 approx 0.48 approx -13.0 approx -0.29
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Correct! approx -0.93 The relative change in is , where is the new value of and is the previous value of . We have Question 7 2 / 2 pts The table below shows the wind chill temperature, T, in degrees Fahrenheit when the ambient temperature is 20F, as a function of the wind speed in miles per hour (mph).
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