The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever poses a safety hazard. On a certain day, the rate at which people enter amusement park is modeled by the function e (x) = 0.03x3 + 2, where the rate is measured in hundreds of people per hour since the gates opened. The rate at which people leave the amusement park is modeled by the function I (x)= 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates opened. What does (e –- 1)(4) mean in this situation? O The rate at which the number of people in the park is changing 4 hours after the gates open is 692 people per hour. O There are 92 people in the amusement park 4 hours after the gates open. O There are 692 people in the amusement park 4 hours after the gates open. O The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.

The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever poses a safety hazard. On a certain day, the rate at which people enter amusement park is modeled by the function e (x) = 0.03x3 + 2, where the rate is measured in hundreds of people per hour since the gates opened. The rate at which people leave the amusement park is modeled by the function I (x)= 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates opened. What does (e –- 1)(4) mean in this situation? O The rate at which the number of people in the park is changing 4 hours after the gates open is 692 people per hour. O There are 92 people in the amusement park 4 hours after the gates open. O There are 692 people in the amusement park 4 hours after the gates open. O The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A study investigating the relationship between diet and weight in adults found that the weight W of…

A: A study investigating the relationship between diet and weight in adults found that the weight W of…

Q: Q3) A set of data is shown to have a linear relationship if transformed into the function…

A: It is given that. after transforming of data (X and Y), we get a linear relationship between x and y…

Q: Sketch the graph of the function

Q: Julie used data from 2017 to create this function to model the amount of daylight in New York City…

Q: The population of North Carolina (NC) in Year 2000 was approximately 4,300,000 with an annual…

Q: a certain strain of bacteria is placed in a petri dish as a part of an experiment. The number of…

A: A certain strain of bacteria is placed in a petri dish as a part of an experiment. The number of…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

Q: new

A: Please refer to the image below

Q: h(x) = (1.1)* X h(x) = (1.1)* -5 -1 5 10 y

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had…

A: Explanation for correct choice. The general exponential growth function equation can be written in…

Q: You record the temperature every hour from midnight until 8:00 am. You see that the temperature ( in…

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: The average annual expenditures for a country's consumer on dairy products can be approximated by…

A: Given query is to find the average expenditure for the indicated year.

Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever
poses a safety hazard.
On a certain day, the rate at which people enter amusement park is modeled by the function e (x) = 0.03x3 + 2, where the rate is
measured in hundreds of people per hour since the gates opened. The rate at which people leave the amusement park is modeled by
the function I (x)= 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates opened.
What does (e – 1)(4) mean in this situation?
O The rate at which the number of people in the park is changing 4 hours after the gates open is 692 people per hour.
O There are 92 people in the amusement park 4 hours after the gates open.
O There are 692 people in the amusement park 4 hours after the gates open.
O The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Parabolas$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

When purchased, the height of a Japanese maple sapling is 14 inches. The tree is expected to grow 2.5 inches each month. Which function models the relationship between the height of the tree f(m) and the number of m months of growth? A) f(m) = 2.5m B) f(m) = 2.5m + 14 %3D f(m) = 14m + 2.5 D) f(m) = 2.5m - 14. %3D
On the basis of data for the years 1912 through 1992, the expected life span of people in a country can be described by the function f(x) = 12.663 In x+17.681 years, where x is the number of years from 1900 to the person's birth year. What does this model estimate the life span to be for people born in 1937? This model estimates that the life span for people born in 1937 is (Round to the nearest year as needed.) years.
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
A geologist is using stratigraphy to analyze the history of a canyon wall overlooking a river, in a region which used to be covered by a prehistoric ocean. She finds that in a certain location where there are few intrusions, the age of the rock layers can be (roughly) modeled as a function of the height above the canyon floor. She uses the function f (x) = 400e--05x where x gives the height in feet and f (x) is the age in millions of years. + 10
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
The size of the raccoon population in a park increases at 4.9%, with a current population at 119, how many more raccoons should be there in 6 years? Use the function f(x)=119e0.049t
The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the year 1995 in which there were 35 crimes. If the number of crimes continue to decrease at a constant rate, create thw function to represent
Which function is equivalent to f(x) = lnx?