A linear function is given. Complete parts (a)-(d).10-f(x) = 3x + 28-6-4-(a) Determine the slope and y-intercept of the function.The slope is.(Type an integer or a simplified fraction.)10-B-6-4-216The y-intercept is:2(Type an integer or a simplified fraction.)(b) Use the slope and y-intercept to graph the linear function.Use the graphing tool to graph the function. Use the slope and y-intercept when drawing the line.-8-Click totoenlargegraph(c) Determine the average rate of change of the function.The average rate of change is(d) Determine whether the linear function is increasing, decreasing, or constant. Choose the correct answer below.O A. constantO B. increasingO C. decreasing

Question: The function is given.y=3x+2 Determine the slope and y intercept Use slope and y intercept…

Answered: A linear function is given. Complete…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section3.1: Graphing Linear Functions

Problem 68PFA

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Profit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price (in dollars) of the microwave oven and x is the number of units sold. The cost equation for the microwave oven is C=80x+150,000, where C is the total cost (in dollars) and x is the number of units produced. The total profit P obtained by producing and selling x units is modeled by P=xpC. (a) Find the profit function P in terms of x. (b) Find the profit when 250,000 units are sold. (c) Find the unit price when 250,000 units are sold. (d) Find (if possible) the unit price that will yield a profit of 10 million dollars. If not possible, explain why.
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.
Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x, where x is in thousands ofphones produced, and the revenue represented by thousands of dollars is R=xp. Find theproduction level that will maximize revenue.
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.
Maximizing revenue A seller of contemporary disks finds that he can sell (820x) desks each month when the price is x dollars. What price will maximize revenue?
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?
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.
Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 to produce 300 chairs in one day. a Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?
A rocket is launched in the air. Its height, in metersabove sea level, as a function of time, in seconds,is given by h(t)=4.9t2+229t+234. Find themaximum height the rocket attains.

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