Pls help #3 iMODELING REAL LIFE The table shows the speeds y (in miles per hour) of a car after x seconds of braking. Writean equation of the line that passes through the points in the table.0.123y 70 60 50 40y =Interpret the slope and the y -intercept.The slope ofv represents the decrease in car speed, in miles per hour, each second after braking.ClicThe y -intercept ofv represents the initial car speed before braking.GraPrevious13710NextP Type here to search40°F CloudyDELL

linear regression is a linear approach for modelling the relationship between a scalar response and…

Answered: MODELING REAL LIFE The table shows the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 19PFA

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A phone company has a monthly cellular plan where a customer pays a flat monthly fee and thena certain amount of money per minute used on thephone. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes,the monthly cost will be $118. a. Find a linear equation for the monthly cost of thecell plan as a function of x, the number of monthly minutes used. b. Interpret the slope and y-intercept of the equation. c. Use your equation to find the total monthly cost if687 minutes are used.
A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25to produce each doughnut. a. Write a linear model to represent the cost C of the company as a function of x, the number of doughnuts produced. b. Find and interpret the y-intercept.
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
Pressure and Depth At the surface of the ocean the water pressure is the same as the air pressure above the water, 15lb/in2. Below the surface the water pressure increases by 4.34lb/in2 for every 10ft of descent. Find an equation for the relationship between the pressure and depth below the ocean surface. Sketch a graph of this linear equation. What do the slope and y-intercept of the graph represent? At what depth is the pressure 100lb/in2?
In 2004, a school population was 1,001. By 2008the population had grown to 1,697. Assume thepopulation is changing linearly. a. How much did the population grow between theyear 2004 and 2008? b. How long did it take the population to grow from1,001 students to 1,697 students? c. What is the average population growth per year? d. What was the population in the year 2000? e. Find an equation for the population, P, of theschool t years after 2001. f. Using your equation, predict the population of theschool in 2011 .
The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?
Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I(x)=1,054x+23,286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
A clothing business finds there is a linearrelationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt.In particular, historical data shows that 1,000 shirtscan be sold at a price of 30, while 3,000 shirts canbe sold at a price of 22. Find a linear equation inthe form p(n)=mn+b that gives the price p they can charge for n shirts.
A farmer finds there is a linear relationship betweenthe number of bean stalks, n, she plants and theyield, y, each plant produces. When she plants 30stalks, each plant yields 30 oz of beans. When sheplants 34 stalks, each plant produces 28 oz of beans.Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Neurology The average weight of a male child’s brain is 970 grams at age 1 and 1270 grams at age 3. (a) Assuming that the relationship between brain weight y and age t is linear, write a linear model for the data. (b) What is the slope and what does it tell you about brain weight? (c) Use your model to estimate the average brain weight at age 2. (d) Use your school’s library, the Internet, or some other reference source to find the actual average brain weight at age 2. How close was your estimate? (e) (d) Do you think your model could be used to determine the average brain weight of an adult? Explain.

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