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Exponent Properties
Linear Models
Quadratics
Exponential Growth
Exponential Decay
100
c^3v^9c^-1c^0
What is c^2v^9
100
Calories 305 410 320 500 510 440 Fat Grams 28 34 28 41 42 38 Assuming the data can best be described by a linear model, how many fat grams would be expected to be contained in a 275-calorie order of fried chicken?
What is 25 grams?
100
Solve: Hint most quadratics have 2 answers. x^2 = 144
What are 12 and -12?
100
A certain town had a population of 13,000 people. Since 1998 the population has increased 1.4% a year. What is the poplulation in 2006?
What is 14, 529. A(n) = 13,000 x 1.014^x
100
In 1990, the population of Washington, D.C. was about 604,000 people. Since then the population has decreased about 1.8% per year. Find the population in 2010.
What is 420,017 people.
200
9y^4j^2y^-9
What is (9j^2)/(y^5)
200
Year 1998 1999 2000 2001 2002 2003 2004 2005 Average Bill $102 $102 $104 $108 $116 $116 $121 $129 According to a line of best fit for the data, approximately how much per month would the Smiths pay in 2007?
What is $134?
200
Solve- Hint most quadratics have 2 answers. x^2 + 5x + 6 = 0
What are -2, -3?
200
A population of 24, 500 people has been increasing at a rate of 1.8% a year. What will be the population in 15 years?
What is 32,017.
200
The value of a $1,200 computer decreases 27% annually. What will be the value of the computer after 3 years?
What is $466.82.
300
(a^3/m)^-4
What is (m^4)/a^12
300
The average price of a movie ticket in the year 2000 was $5.39. The average price of a movie ticket in the year 2004 was $6.21. Assuming the increase is linear, what would be the approximate price of a movie ticket in the year 2009?
What is $7.24?
300
Solve- Hint most quadratics have 2 answers. x^2 + 9x = 36
What are -12 and 3?
300
Write an exponential function to represent $2,000 principal earning 5.6% interest compounded annually.
What is y = 2000 x 1.056^x
300
By which percent would you multiply a number to decrease it by 3.5%?
What is 96.5%.
400
(-3q^-1)^3q^2
What is (-27)/q
400
Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 2.5% of her sales. This week her goal is to earn at least $500. What is the minimum amount of sales she must have this week to achieve her goal? A. $3,500 B. $5,000 C. $15,000 D. $20,000
What is "B"
400
An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t^2, where d represents the distance in feet and t represents time in seconds. About how long does it take the object to fall 800 feet?
What about 7 secs?
400
Find the account balance on $3,000 principal earning 6.4% interest compounded yearly for 7 years.
What is $4352.80.
400
Suppose your mother buys a new car for $22,000. The value of the car decreases by 20% each year. Find the value of the car after 6 years.
What is $5,767.17.
500
2y^-9h^2(2y^0h^-4)^-6
What is (h^26)/(32y^9)
500
For the line y = mx + b, where m > 0 and b < 0, what change would occur if b is multiplied by —1 and m remains the same? A. The y-intercept becomes negative. B. The slope becomes negative. C. The new line would be perpendicular to the original line. D. The new line would be parallel to the original line.
What is D?
500
The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 63 feet per second is given by the formula h(t) = —16t^2 + 63t, where t is the time in seconds. What is the height of the object after 3 seconds?
What is 45ft?>
500
The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation y = 0.432(1.55)^x , where x is the number of years after 1985. In what year were there approximately 6 thousand cell phones?
What is 1991?
500
On January 1, 2000, Chessville had a population of 40,000 people. Its population increases 7% each year. On the same day, Checkersville had a population of 60,000 people. Its population decreases 4% each year. During what year will the population of Chessville exceed that of Checkersville?
What is 2004.