Check Point 7 Use the models f ( x ) = 0.074 x + 2.294 and g ( x ) = 2.577 ( 1.017 ) x to solve this problem. World population in 1970 was 3.7 billion. Which function serves as a better model for this year? By one projection, world population is expected to reach 9.3 billion by 2050. Which function serves as a better model for this projection?
Check Point 7 Use the models f ( x ) = 0.074 x + 2.294 and g ( x ) = 2.577 ( 1.017 ) x to solve this problem. World population in 1970 was 3.7 billion. Which function serves as a better model for this year? By one projection, world population is expected to reach 9.3 billion by 2050. Which function serves as a better model for this projection?
Solution Summary: The author explains that the exponential function underset_g(x)=2.577
You take up weightlifting and record the maximum number of pounds you can lift at the end of each week. You start off with rapid growth in terms of the weight you can lift from week to week, but then the growth begins to level off. Describe how to obtain a function that models the number of pounds you can lift at the end of each week. How can you use this function to predict what might happen if you continue the sport?
We opened this section with a study showing that late in the semester, procrastinating students reported more symptoms of physical illness than their nonprocrastinating peers.a. At the beginning of the semester, procrastinators reported an average of 0.8 symptoms, increasing at a rate of 0.45 symptoms per week. Write a function that models the average number of symptoms after x weeks.b. At the beginning of the semester, nonprocrastinators reported an average of 2.6 symptoms, increasing at a rate of 0.15 symptoms per week. Write a function that models the average number of symptoms after x weeks.c. By which week in the semester did both groups report the same number of symptoms of physical illness? For that week, how many symptoms were reported by each group?How is this shown in Figure.
. According to an experimental study, the lifespan of a hamster is a function of the time the hamster spent hibernating. Percent of lifetime in hibernation, x 0 10 20 30 Expected lifespan in days, y A formula for the function is f(x) = 18x + 660How do you know what the graph looks like? If the hamster’s hibernation time increases by 10%, what happens to its life expectancy?
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