question ball toss throw the ball at a number then answer that question
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Question Ball Toss
Throw the ball at a number then answer that question.
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Question 1As a fundraiser, the band is selling cookies. The cost to make each cookie can be written as c(x) = 0.25x + 0.5 and the functions that represents the amount they sell the cookie for can be written as s(x) = 2x. What function represents the profit, P(x), for each function?
A) P(x) = 0.5x + 1 B) P(x) = 0.5x2 + x C) P(x) = 2.25x + 0.5 D) P(x) = 1.75x - 0.5
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Question 2Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…a. an = 6n +1
b. an = -6n + 1
c. an = 6n -5
d. an = -6n + 5
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Question 3You are planning a vacation. The hotel you are going to stay at charges $129 per night. This can be represented by the function p(h) = 129h. The car rental company charges a $50 insurance fee plus $79 per day. This can be represented by the function p(c) = 50 + 79c. Write a function p(v) to represent the total charges for your hotel and car rental.
A) p(v) = 258v B) p(v) = 50 + 208v C) p(v) = 129(79v + 50) D) p(v) = 50(129h + 79c)
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Question 4Find the 10th term in the sequence
a. b. c. d. none of the above
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Question 5Find the sixth term of the geometric sequence
a) b) c) d)
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Question 6Determine the common ratio and find the next three terms of the geometric sequence
1, -2, 4, -8, …a. r = 2, a5 = 16, a6 = 32 a7 = 64
b. r = -3, a5 = -11, a6 = -14, a7 = -17
c. r = -2, a5 = 16, a6 = -32 a7 = 64
d. r = 3, a5 = -5, a6 = -2, a7 = 1
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Question 7Adam earns $75 per week mowing lawns. This can be represented by the function f(x) = 75x. Each week he deposits this money into his bank account. At the beginning of January his bank account had a balance of $500 in it. Adam also makes a $45 withdrawal each week. The withdrawals from his account can be represented by the function f(x) = 500 - 45x. Write a function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal.
A) f(n) = 500 - 30n B) f(n) = 500 + 30n C) f(n) = 12(500-30n) D) f(n) = 500 - (75n-45n)
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Question 8
5) For the functions a) b) c) d)
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Question 9
Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…A. an = 6n +1
B. an = -6n + 1
C. an = 6n -5
D. an = -6n + 5
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Question 10Write an explicit rule for the sequence 4, 12, 36, 108,…a. b. c. d.
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Question 11A function that can be used to model the cost of producing x t-shirts is c(x)= 10 + 7x, and the function that can be used to model the amount of money to be made from selling x t-shirts is m(x) = 20x.
Write a function p(x) to represent the total profit of selling x number of shirts.
A) p(x) = 10 - 13x B) p(x) = 13x - 10 C) p(x) = 27x - 10 D) p(x) =
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Question 12Which sequence is not geometric? Explain why. a. 3,6, 12, 24,….b. 7,5, 3,1,….c. 1,2,4,8,…..d. 27,9,3,1,….
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Question 13Use the table to find f(-3)a) 7 b) 1 c) 2 d) none of these
x y
-11 12
-7 7
-3 2
1 -3
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Question 14A sequence {an} is defined recursively, with a1 = -1, and, for n > 1, an = an-1 + (-1)n. Find the first five terms of the sequence.
A) -1, 0, 1, 2, 3 B) -1, -2, -3, -4, -5 C) -1, 0, -1, 0, -1 D) -1, 1, -1, 1, -1
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Question 15Jason's age is of his brother's age. His brother's age can be represented by the function A(b) = 12b - 9. Write a function f(a) that can be used to represent the sum of their ages.
A) f(a) = 12a - 5.5 B) f(a) = 18a - 13.5 C) f(a) = 18a + 13.5 D) f(a) =
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Question 16Find the 22nd term for the sequence 9, 14, 19, 24…
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Question 17For the function , find f(2).a. 2b. 0c. 28d. None of these
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Question 18Write a recursive rule for the sequence -12, -13, -14, -15….
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Question 19Use the graph below to find the x-value whena. 3b. 0c. 5d. Not definded
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Question 20Write an explicit rule for the sequence 21, 25, 29, 33…
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Question 21The length of a rectangle is defined by the function . The width of a rectangle is found by the function . Determine the function that would define the area of the rectangle.
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Question 22Find the next 3 terms in the sequence 18, 12, 6, 0…
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Question 23The formula can be used to find the time(t) when given the distance(D) a car has traveled given a rate(r). If the distance a car has traveled is defined by the function and the rate is defined by the function , find the time it has taken to travel the given distance and rate.
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Question 24Write an explicit rule for the sequence 6, 18, 54…
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Question 25Find when .a. -3b. -
c. 3
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Question 26Write a recursive rule for the sequence -4, 0, 4, 8….
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Question 27Find when and
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Question 28Find the next 3 terms in the sequence 13, 16, 19, 22…
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Question 29Find when
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Question 30Write a rule for the nth term of the sequence 6, 24, 96, 384, … Then find a7.