The bar graph shows the percentage of country A high school seniors who applied to more than three colleges forselected years from 1980 through 2013. The data in the bar graph can be modeled by f(x) = x + 24 and0.0216xg(x) = 30.6 ein which f(x) and g(x) represent the percentage of high school seniors who applied to more thanthree colleges x years after 1980. Use these functions to complete parts (a) through (c) below.a. According to the linear model, what percentage of high school seniors applied to more than three colleges in 2005?%b. According to the exponential model, what percentage of high school seniors applied to more than three colleges in 2005?Percentage of country A High School Seniors Applying to More Than Three CollegesPercentage of high school seniors80-60-40 3020-5144405663711980 1990 1995 2000 2005 2010 2013Year The bar graph shows the percentage of country A high school seniors who applied to more than three colleges forselected years from 1980 through 2013. The data in the bar graph can be modeled by f(x) = x + 24 anda. According to the linear model, what percentage of high school seniors applied to more than three colleges in 2005?b. According to the exponential model, what percentage of high school seniors applied to more than three colleges in 2005?% (Round to the nearest percent as needed.)c. Which function is a better model for the data shown by the bar graph in 2005?A. Exponential modelO B. Linear modelPercentage of country A High School Seniors Applying to More Than Three CollegesS

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Answered: The bar graph shows the percentage of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The number of members f(x) in a baseball club increased by 45% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 25(1.45)x Which of the following graphs best represents the function?
The amount of water in a tub increases at a constant rate. After 5 minutes of filling, the amount of water in the tub is 18.75 gallons. After 14.2 minutes of filling, the amount of water in the tub is 33.93 gallons. A) Determine the function f that models the amount of water in the tub with respect to the number of minutes that tub has been filling. Define any variables used. B) Evaluate f (11.2) and explain the meaning in the context of the problem. C) Determine the vertical intercept and explain the meaning in the context of the problem. D) Determine the horizontal intercept and explain the meaning in the context of the problem. E) Assuming the tub has a capacity of 40 gallons, determine the practical domain and range of the function. f) Determine the formula for the inverse function f ^-1. g) Evaluate f^-1 (11.2) and explain the meaning in the context of the problem.
the snake was introduced into Guam. and has been preying on the native bird population for years. Assume there were 8 snakes introduced to the island and every year the population tritles. Write a function, f(x),to model the number of snakes based on years, x, since they were introduc
The digital music industry has been growing steadily since the 2000s. The function h represents the percentage of music sales that are digital as a function of the number of years since 2002, t. h(t) = 15.8182+49.91t %3D 17.0418+0.52t
mr. Otik was charged php 350 monthly for a certain mobile plan which includes 300 text messages. messages in excess of 300 messages are additionally charged php 1.00 each.represent the monthly cost for text messaging using the function g (t), where t is the number of messages sent in a month.
Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 30 cm long. cm

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