Linear Equations: Real World Applications A student has scores of 67.75, 66, and 72 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C? Round your answer to two decimal places. The student needs a minimum score of fourth test to ensure a grade of at least a C. on the

Linear Equations: Real World Applications A student has scores of 67.75, 66, and 72 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C? Round your answer to two decimal places. The student needs a minimum score of fourth test to ensure a grade of at least a C. on the

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.9: Modeling With Equations

Problem 23E: APPLICATIONS Average Linh has obtained scores of 82, 75 and 71 on her midterm algebra exams. If the...

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APPLICATIONS Average Linh has obtained scores of 82, 75 and 71 on her midterm algebra exams. If the final exams counts twice as much as a midterm, what score must she make on her final exam to get an average score of 80? Assume that the maximum possible score on each test is 100.
Finding Intercepts Consider the linear equation ax+by=c where a,b, and c are real numbers. (a) What is the x-intercept of the graph of the equation when a0? (b) What is the y-intercept of the graph of the equation when b0? (c) Use your results from parts (a) and (b) to find the x-andy-intercepts of the graph of 2x+7y=11.
Mixing solutions A chemist has two solutions; one has a 20 concentration and the other a 45 concentration. How many liters of each must she mix to obtain 10 liters of 30 concentration?
The system of equations {2yx2=0yx=4} Is graphed below. Check that the solutions you found in Exercise a satisfy system.
Gas Mileage The distance d, in miles, that you can travel without stopping for gas depends on the number of gallons g of gasoline in your tank and the gas mileage m, in miles per gallon, that your car gets. The relationship is d=gm. 2.5 a. How far can you drive if you have 12 gallons of gas in your tank and your car gets 24 miles per gallon? b. Solve Equation 2.5 for m. i. Explain in everyday terms what this new equation means. ii. Use this equation to determine the gas mileage of your car if you can drive 335 miles on a full 13-gallon tank of gas. c. A Detroit engineer wants to be sure that the car she is designing can go 425 miles on a full tank of gas, and she must design a gas tank to ensure that. She does not yet know what gas mileage this new-model car will get, and so she decides to make a graph of the size of the gas tank as a function of gas mileage. i. Solve Equation 2.5 for g using 425 for the distance. ii. Make the graph that the engineer made. Is it a straight line?
Travel Time You are driving on a Canadian freeway to a town that is 500 kilometers from your home. After 30 minutes, you pass a freeway exit that you know is 50 kilometers from your home. Assuming that you continue at the same constant speed, how long does the entire trip take?
Isocost Equation We are to buy quantities of two items: n1 units of item 1 and n2 units of item 2. a. If item 1 costs 3.50 per unit and item 2 costs 2.80 per unit, find a formula that gives the total cost C, in dollars, of the purchase. b. An isocost equation shows the relationship between the number of units of each of two items to be purchased when the total purchase price is predetermined. If the total purchase price is predetermined to be C=162.40 dollars, find the isocost equation for items 1 and 2 from part a. c. Solve for n1 in the isocost equation you found in part b. d. Using the equation from part c, determine how many units of item 1 are to be purchased if 18 units of item 2 are purchased.
Graphical Method Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. {x+y=22x+y=5}