Systems of Linear and Quadratic Equations – Using EliminationRecreation Since opening day, attendance at Pool A has increased steadily, while attendance atPool B first rose and then fell. Equations modeling the daily attendance y at each pool are shownbelow, where x is the number of days since opening day. On what day(s) was the attendance thesame at both pools? What was the attendance?15X= daysy:atendancey=28(15)+4=1424 peopley=-(15)* +39(15)+ 6y gPool A: y = 28x + 4Pool B: y-x + 39x + 6428x+ 4ニ-x?+|\\+600 =-(メーIメー)0 =- (x- 4(x-1s)%D%3D2 303 20Xコ-4ベ=ウOPEN ENDED QUESTIONSuppose the equation for Pool B stayed thesame but Pool A use modeled by the equationy=36x+54. On what day(s) was the attendancethe same? What was the attendance?Type your answer here

Elimination method: - One of the ways to determine a system of linear equations is that the…

Answered: y=36x+54.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.8: Systems Of Linear Equations

Problem 25E

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Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?
Applications Use system of equations to solve each problem. Break-even point Roll wheel, Inc., can manufacture a pair of in-line skates for 43.53. Daily fixed costs of manufacturing in-line skates amount to 742.72. A pair of in-line skates can be sold for 89.95. Find equations expressing the expenses E and the revenue R as a functions of x, the numbers of pairs manufactured and sold. At what production level will expenses equal revenues?
Investing You have 30, 000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much Treasury notes as you invest in municipal bonds. a. Write a system of equations that will determine how much to invest in each category. Suggestion: One equation should show the total amount invested. The second equation should show that twice as much is invested in Treasury note as in municipal bonds. b. Solve the system of equation in part a to determine how much is invested in each category.
Graphical Method Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. {2x+y=1x2y=8}
Applications Use system of equations to solve each problem. Making an alloy A metallurgist wants to make 60 grams of an alloy that is to be 34 copper. She has samples that are 9 copper and 84 copper. How many grams of each must she use?
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?

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