h=Hours since 4 P.M. T-Temperature 62 1 59 2 38 3 26 4 22 Warm Cold (a) Use functional notation to express the temperature in Stillwater at 4:30 p.m. 1/2 Estimate the value of the above term. (Round your answer to one decimal place.) 60.5 (b) What was the average rate of change per minute in temperature between 5 p.m. and 6 p.m.? (Round your answer to two decimal places.) -0.35 What was the average decrease per minute over that time interval? (Round your answer to two decimal places.) 0.35 /min 5:13 p.m. (Round your answer to one decimal place.) (c) Estimate the temperature at (c) At about what time did the temperature reach the freezing point? P.m. Explain your reasoning. Type here to search

h=Hours since 4 P.M. T-Temperature 62 1 59 2 38 3 26 4 22 Warm Cold (a) Use functional notation to express the temperature in Stillwater at 4:30 p.m. 1/2 Estimate the value of the above term. (Round your answer to one decimal place.) 60.5 (b) What was the average rate of change per minute in temperature between 5 p.m. and 6 p.m.? (Round your answer to two decimal places.) -0.35 What was the average decrease per minute over that time interval? (Round your answer to two decimal places.) 0.35 /min 5:13 p.m. (Round your answer to one decimal place.) (c) Estimate the temperature at (c) At about what time did the temperature reach the freezing point? P.m. Explain your reasoning. Type here to search

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.1: Exponential Functions And Their Graphs

Problem 59E: Inflation Assuming that the annual rate of inflation averages 4 over the next 10 years, the...

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Titanic At 2:00 p.m. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York City. At 11:40 p.m. on April 14, the Titanic struck an iceberg and sank, having covered only about 2100 miles of the approximately 3400-mile trip. (a) What was the total duration of the voyage in hours? (b) What was the average speed in miles per hour? (c) Write a function relating the distance of the Titanic from New York City and the number of hours traveled. Find the domain and range of the function. (d) Graph the function in part (c).
Falling with a parachute If an average-sized man jumps from an airplane with an open parachute, his downward velocity t seconds into the fall is v(t)=20(10.2t) Feet per second. a. Use functional notation to express the velocity 2 seconds into the fall, and then calculate it. b. Explain how the velocity increases with time. Include in your explanation the average rate of change from the beginning of the fall to the end of the first second and the average rate of change from the fifth second to the sixth second of the fall. c. Find the terminal velocity. d. Compare the time it takes to reach 99 of terminal velocity here with the time it took to reach 99 of terminal velocity in Example 2.1. On the basis of the information we have, which would you expect to reach 99 of terminal velocity first, a feather or a cannonball?
Growth of North Sea Sole The length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model by the formula L=14.819.1060.631t. Here t is age, in years, and L is length, in inches. a. Make a graph L versus t. Include values of t from 1 to 10 years. b. Use functional notation to express the length of a 4-year-old sole, and that calculate that value. c. At what age will a sole be 10 inches long? d. What is the limiting length for a North Sea sole?
Reaction Time For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced. One model is, R=0.17+0.44logN where R is the reaction time in seconds and N is the number of choices. a.Draw a graph of R versus N. Include values of N from 1 to 10 choices. b.Using functional notation, express the reaction if there are seven choices, and then calculate that time. c.If the reaction is to be at most 0.5 second, how many choices can there be? d.If the number of choices increases by a factor of 10, what happens to the reaction time. e.Explain in practical terms what the concavity of graph means.