Question
The US Census Bureau regularly tries to estimate the number of people who live along various highways. One important highway is I-95, which runs from
The US Census Bureau regularly tries to estimate the number of people who live along various highways. One important highway is I-95, which runs from Miami up the coast through Maine.
In 2010, the Census Bureau measured the population density within 5 miles of I-95 at regularly-spaced distances, starting at Miami and going 100 miles north. They produced the following model:
P(d) = -.044d3+6.56d2-341.3d+10151
Measured in people per square mile at a distance d from Miami.
How many people live within 5 miles of I-95 along this 100-mile stretch of the highway?
Preparation:
- Draw a picture of the 5-mile-wide stretch of I-95, labeling all dimensions, and representing the variable population density.
- Is there less, the same, or more people living in the first 50 miles compared to the last 50 miles? Explain.
- Explain why we cannot just multiply a population density by the area of the shape you drew in question 1.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started