Problem 1 (Section 1.3)

An urban heat island* is a phenomenon in cities where the temperature of the area is affected by buildings, sidewalks, parking lots, and other materials that absorb heat during the day and release the heat at night. Consequences of urban head islands are lower air quality, lower water

quality, and negative impacts to nearby environments.The urban heat island phenomenon has been observed in Los Angeles. The highs in LA over

the past 10 years is given in the table below. The weather measurements were made in downtown

Los Angeles (currentresults.com).

Year Temp (F)

2010 74

2011 73

2012 75

2013 75

2014 78

2015 78

2016 76

2017 78

2018 76

2019 75

2020 77

a) Let. T be temperature and t be time since 2010. Plug the values of the table into Desmos to create a scatter plot. I've set up a table and linear regression for you at this link:

https://www.desmos.com/calculator/pqqwugoezn

What is the linear model, y=mx+b , created by Desmos?

b) According to the Desmos linear model, what will be the high temperature in 2035? Show all work for finding the value.

c) Pick any two points in the table. Create a different linear model using these two points by creating the equation of a line. Show as much work and steps as possible.

d) According to your model, what will be the high temperature in 2035? Show all work for finding the value.