2 Describe the combined variation that is modeled by the formula or equation.
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1 Name: ate: 1 Suppose that y varies directly with x and inversely with z, y = 25 when x = 35, and z = 7. hoose the equation that models the relationship. Then find y when x = 12 and z = escribe the combined variation that is modeled by the formula or equation. y varies directly as w and inversely as x. y varies directly as w and inversely as the square of 2x. y varies directly as the square of x and inversely as w. y varies directly as w and inversely as the square of x. 3 The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The ship uses 28 barrels of oil in traveling 90 miles at 56 mi/h. How many barrels of oil are used when the ship travels 31 miles at 26 mi/h? Round your answer to the nearest whole number. 10 barrels 4 barrels 6 barrels 2 barrels opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 11
2 4 esigner olls, Inc., found that the number N of dolls sold varies directly with their advertising budget and inversely with the price P of each doll. The company sold 1800 dolls when $34,000 was spent on advertising and the price of a doll was set at $25. etermine the number of dolls sold when the amount spent on advertising is increased to $42,000. Round to the nearest whole number. 877 dolls 710 dolls 2,224 dolls 1,800 dolls 5 The values (9.4, 11) and (11, y) are from an inverse variation. Find the missing value and round to the nearest hundredth Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, choose the function that models it. x y inverse variation; direct variation; y = x neither opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 11
3 7 How does the graph of compare to the graph of in terms of transformations? The graph is reflected in the x-axis and stretched by a factor of 2. The graph is reflected in the y-axis and stretched by a factor of 2. The graph is reflected in the x-axis and compressed by a factor of. The graph is reflected in the y-axis and compressed by a factor of. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 11
4 8 Identify the graph of the equation. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 11
5 9 Identify the graph of the equation. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 11
6 10 local theater will hold an after-prom movie. The theater seats 300 people, and the total cost to show the movie is $400. If ten parents go as chaperones, model the cost per student as a function of the number of attendees n. How many students must attend the movie for the cost to be no more than $3.25 per student? ; at least 124 students ; at least 120 students ; at least 102 students ; at least 90 students 11 Which equation models a translation of the equation with the asymptotes x = 7 and y = 6? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 11
7 12 What is the graph of the function? 6xy = 13 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 11
8 13 Simplify the rational expression. 14 Simplify the rational expression. 15 ivide. State any restrictions on the variable.,,,, opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 11
9 16 Factor the polynomial. 17 ivide. State any restrictions on the variable. 18 Multiply. State any restrictions on the variables. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 11
10 19 Simplify the complex fraction. 20 dd. Simplify if possible. 21 What is the LM of and? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 11
11 22 dd. Simplify if possible. 23 Simplify the complex fraction. 24 dd. Simplify if possible. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 11
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