Using Graphs to Relate Two Quantities

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1 - Using Graphs to Relate Two Quantities For Eercises, choose the correct letter.. The graph shows our distance from the practice field as ou go home after practice. You received a ride from a friend back to his house where ou ate supper. You then walked home from there. Which point represents a time when ou are walking home? A. A B. B C. C D. D Distance B A C Time D. Which table is related to the graph at the right? F. Time Temp. H. (h) (F) Time (h) Temp. (F) Temp (ºF) Time (h) G. Temp. Time I. (F) (h) Temp. (F) Time (h). How are the variables related on the graph? A. as speed decreases, height sta constant B. as speed decreases, height increases C. as speed increases, height decreases D. as speed increases, height increases Height Speed. For the race ou swim mile, run miles, and bike miles. Sketch a graph to represent the relationship. Label the aes with the related variables. What are the important points on the graph? Prentice Hall Algebra Practice and Problem Solving Workbook

2 - Patterns and Linear Functions For Eercises, choose the correct letter.. Which equation represents the relationship shown in the table at the right? A. C. B. D.. In a relationship between variables, what is the variable called that changes in response to another variable? F. function H. independent variable G. input function I. dependent variable. A lawn care compan charges a $ trip fee plus $. per square foot of square feet of lawn for fertilization. Which equation represents the relationship? A.. B.. C.. D... Which equation represents the relationship shown in the graph? F. H. G. I.. The table below shows the relationship between the number of teachers and the number of students going on a field trip. How can the relationship be described using words, an equation, and a graph? Teachers Students Field Trip Prentice Hall Algebra Practice and Problem Solving Workbook

3 - Patterns and Nonlinear Functions For Eercises, choose the correct letter.. Which ordered pair represents a linear function? A. (, ), (, ), (, ), (, ), and (, ) B. (, ), (, ), (, ), (, ), and (, ) C. (, ), (, ), (, ), (, ) and (, ) D. (, ), (, ), (, ), (, ), and (, ). The following ordered pairs represent a function: (, ), (, ), (, ), (, ), and (, ). Which equation could represent the function? F. G. H. I.. Which rule could represent the function shown b the table at the right? A. B. C. D.. The ordered pairs (, ), (, ), (, ), (, ), and (, ) represent a function. Which rule could represent the function? F. G. H. I.. Which ordered pair represents a nonlinear function? A. (, ), (, ), (, ), (, ), and (, ) C. (, ), (, ), (, ), (, ), and (, ) B. (, ), (, ), (, ), and (, ) D. (, ), (, ), (, ), (, ), and (, ). Graph the function shown in the table below. Is the function linear or nonlinear? Prentice Hall Algebra Practice and Problem Solving Workbook

4 - Graphing a Function Rule For Eercises, choose the correct letter.. Which table of values can be used to graph the function? A. C. B. D.. Which term best describes a function whose graph is composed of isolated points? F. continuous G. linear H. discrete I. nonlinear. Which relationship is continuous? A. the number of cows a farmer has owned over the ears B. the number of cookies Stan baked for the part C. the number of people attending the assembl D. the distance a runner ran during training. The total cost c a painter charges to paint a house depends on the number h of hours it takes to paint the house. This situation can be represented b the function rule c h. What is the total cost if the painter works for. hours? F. $ G. $. H. $. I. $.. The profit on the number of items a store sells is represented b the rule. What does a table of values for the function rule and the graph of the function look like? Prentice Hall Algebra Practice and Problem Solving Workbook

5 - Writing a Function Rule For Eercises, choose the correct letter.. Jill earns $ per hour. Using p for her pa and h for the hours she works, what function rule represents the situation? A. h p B. p h C. h p D. p h. What is a function rule for the perimeter P of a building with a rectangular base if the width w is two times the length l? F. p l G. p w H. p l I. p w. Which function rule can be used to represent the area of a triangle with a base b in. longer than twice the height h in terms of the height? A. A bh C. A h h B. A h(h ) D. A (h)(h ). Which equation represents the sentence d is less than the quotient of n and? F. d n H. d n G. d n I. d n. The function rule for the profit a compan epects to earn is P m, where P represents profit and m represents the number of months the compan has been in business. How much profit should the compan earn after months in business? A. $, B. $, C. $, D. $, Etended Response. A plane was fling at an altitude of, feet when it began the descent toward the airport. The airplane descends at a rate of feet per minute. a. What is the function rule that describes this situation? b. What is the altitude of the plane after it has descended for minutes? Show our work. c. How long will it take for the airplane to land on the ground if it continues to descend at the same rate? Show our work. Prentice Hall Algebra Practice and Problem Solving Workbook

6 Prentice Hall Algebra Practice and Problem Solving Workbook Name Class Date - Formalizing Relations and Functions Gridded Response Solve each eercise and enter our answer on the grid provided.. What is f () for the function f ()?. You have returned some merchandise to a store and received a store credit of $. In the same store, ou are purchasing picture frames that cost $ each. The function f () represents our total cost f () if ou purchase picture frames. How man dollars will ou pa if ou purchase picture frames?. If f (), what is the range value for the domain value?. When Jerome travels on the highwa, he sets his cruise control at mi/h. The function f () represents his total distance f () when he has traveled hours. How man miles will he have travelled after. hours of driving on the highwa?. For what value of is the value of f () equal to?

7 - Sequences and Functions For Eercises, choose the correct letter.. What are the net two terms of the following sequence?,,,, A., B., C., D.,. What are the net two terms of the following sequence?,,,, F., G., H., I.,. What is the common difference of the following arithmetic sequence?,,,, A. B. C. D.. What is the ninth term of the arithmetic sequence defined b the rule A(n) (n )()? F. G. H. I.. Each time a touchdown is scored in a football game, points are added to the score of the scoring team. A team alread has points. What rule represents the number of points as an arithmetic sequence? A. A(n) n C. A(n) (n )() B. A(n) (n )() D. A(n) (n ). A friend opens a savings account b depositing $. He deposits an additional $ into the account each month. a. What is a rule that represents the amount of mone in the account as an arithmetic sequence? b. How much mone is in the account after months? Show our work. Prentice Hall Algebra Practice and Problem Solving Workbook

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