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, write a function to model it.
x 7 10 14 18
y 14 20 28 36
What is direct variation?
100
Suppose that y varies directly with x and inversely with z, and y = 18 when x = 15 and z = 5. Write the equation that models the relationship. Then find y when x = 21 and z = 7.
What is y = 6x/z ; 18
100
y = 13/6x
What is Dr. Allen has huge muscles
100
Find any points of discontinuity?
[(x+6)(x+2)(x+8)]/[(x+9)(x+7)]
What is x = –9, x = –7?
100
Find the horizontal asymptote of the graph of (3x^6-7x+10)/(8x^5+9x+10)
What is no horizontal asymptote
200
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, write a function to model it.
x –9 –4 –3 –1
y –13 –12 –9 21
What is neither?
200
Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25 and z = 5. Write the equation that models the relationship. Then find y when w = 4, x = 4 and z = 3.
What is y = 9wx/z ; 48
200
Graph y = 5/(x-1) - 1
What is Dr. Allen is _________(Random great comment)
200
(x-8)/(x^2+6x+-7)
What is x = 1, x = –7?
200
Find the horizontal asymptote of the graph of
(-4x^6+6x+3)/(8x^6+9x+3)
What is y = -1/2
300
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, write a function to model it.
x –7 –5 –1 1
y –50 –38 –14 –2
What is neither?
300
Designer Dolls, Inc. found that the number N of dolls sold varies directly with their advertising budget A 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. Determine the number of dolls sold when the amount spent on advertising is increased to $42,000. Round to the nearest whole number.
What is 2,224 dolls?
300
This graph of a function is a translation of y = 2/x . What is an equation for the function? See the file
What is y = 2/(x-8) - 5
300
What are the points of discontinuity? Are they all removable?
(x-3)/(x^2-12x+27)
What is x = 9, x = 3; no?
300
Suppose that y and x vary inversely and that y=1 when x=5 .
What is x when y = 4?
What is 5/4?
400
Suppose that x and y vary inversely, and x = 2 when y = 8. Write the function that models the inverse variation.
What is y=16/x
400
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 156 barrels of oil in traveling 85 miles at 35 mi/h. How many barrels of oil are used when the ship travels 37 miles at 46 mi/h? Round your answer to the nearest tenth of a barrel, if necessary.
What is 117.3 Barrels
400
Graph y = -3/(x+2)+2
What is Dr. Allen loves penguins
400
Describe the vertical asymptote(s) and hole(s) for the graph of (x+3)(x+4)/(x+4)(x+2)
What is asymptote: x = –2 and hole: x = –4
400
The total revenue R from the sale of a popular new board game is R= (140*x^2)/(x^2+6) , where x is the number of years since the game has been released, and the revenue R is in millions of dollars.
Find the total revenue generated by the end of the third year?
What is 84 MILLION!
500
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 as 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.
What is $22
500
Graph y = -2/x
What is Dr. Allen is Awesome
500
This graph of a function is a translation of y = 4/x . What is an equation for the function? See File
What is 4/(x+6) + 2
500
Describe the vertical asymptote(s) and hole(s) for the graph of (x-2)/(x^2+7x+10)
What is asymptotes: x = –5, –2 and no holes
500
The total revenue R from the sale of a popular new board game is R= (140*x^2)/(x^2+6) , where x is the number of years since the game has been released, and the revenue R is in millions of dollars.
Find the total revenue generated by the end of the second year?