1. Suppose that y varies jointly with w and x and inversely with z and y = 540 when w = 15, x = 30, and z = 5. Write the
equation that models the relationship. (1 point)
(0 pts) y =
(0 pts) y =
(1 pt) y =
(0 pts) y =
1 /1 point
2. A drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental
varies inversely to the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much
will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary. (1 point)
(1 pt) $22.00
(0 pts) $40.91
(0 pts) $1,320.00
(0 pts) $21.29
1 /1 point
3. Graph the function.
xy + 16 = 0 (1 point)
(1 pt)
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(0 pts)
(0 pts)
(0 pts)
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1 /1 point
4. Sketch the asymptotes and graph the function
(1 point)
(1 pt)
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(0 pts)
(0 pts)
(0 pts)
1 /1 point
5. What is the equation of the function y = translated 3 units to the left and 4 units up? (1 point)
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(0 pts)
(0 pts)
(0 pts)
(1 pt)
0 /1 point
6. Find any points of discontinuity for the rational function.
y = (1 point)
(0 pts) x = 1, x = 7
(0 pts) x = 8
(1 pt) x = 1, x = –7
(0 pts) x = –1, x = 7
1 /1 point
7. Describe the vertical asymptote(s) and hole(s) for the graph of y = . (1 point)
(0 pts) asymptotes: x = –2, 1 and no holes.
(0 pts) asymptotes: x = 2, –1 and hole: x = 4.
(1 pt) asymptotes: x = –2, –1 and no holes.
(0 pts) asymptotes: x = –2, –1 and hole: x = 4
0 /1 point
8. Find the horizontal asymptote of the graph of y = (1 point)
(1 pt) y = –
(0 pts) y = 0
(0 pts) y = 1
(0 pts) no horizontal asymptote
1 /1 point
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9. What is the graph of the rational function?
y = (1 point)
(0 pts)
(1 pt)
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(0 pts)
(0 pts)
0 /1 point
10. Simplify the rational expression. State any restrictions on the variable.
(1 point)
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(1 pt) , t ≠ 3, t ≠ –3
(0 pts) , t ≠ 3
(0 pts) , t ≠ 3, t ≠ –3
(0 pts) , t ≠ 3, t ≠ –2
1 /1 point
11. What is the product in simplest form? State any restrictions on the variable.
•
(1 point)
(0 pts) , x ≠ –3, x ≠ –4
(1 pt) , x ≠ –3, x ≠ –4, x ≠ 1
(0 pts) , x ≠ –3, x ≠ –4, x ≠ 1
(0 pts) , x ≠ –3, x ≠ –4
1 /1 point
12. Which is equivalent to ? (1 point)
(0 pts)
(0 pts)
(1 pt)
(0 pts)
0 /1 point
13. What is the difference in simplest form?
–
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(1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
0 /1 point
14. Simplify the sum.
(1 point)
(0 pts)
(0 pts)
(0 pts)
(1 pt)
0 /1 point
15. Simplify the complex fraction.
(1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
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1 /1 point
16. Solve the equation. Check the solution.
(1 point)
(0 pts) –16, –4
(0 pts) 4
(0 pts) –16, 4
(1 pt) –16
1 /1 point
17. A group of college students is volunteering for Help the Homeless during their spring break. They are putting the
finishing touches on a house they built. Working alone, Irina can paint a certain room in 8 hours. Paulo can paint the same
room in 7 hours. Write an equation that can be used to find how long it will take them working together to paint the room.
How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth. (1 point)
(0 pts) + = 1; 15 hours
(0 pts) + = ; 3.73 hours
(1 pt) + = 1; 3.73 hours
(0 pts) + = 1; 1.87 hours
1 /1 point
Short Answer
Note: Your teacher will review your response to ensure you receive proper credit for your answer.
18. Determine whether the relation shown in the table is a direct variation, an inverse variation, or neither. If it is a direct
or inverse variation, write an equation for the function.
(2 points)
Essay:
Its an inverse variation y=5/x
2 /2 points Nice job finding that it is inverse variation and finding the equation!