Question Ball Toss

Throw the ball at a number then answer that question.

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

Question 2Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…a. an = 6n +1b. an = -6n + 1c. an = 6n -5d. an = -6n + 5

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)

Question 4Find the 10th term in the sequence

a. b. c. d. none of the above

Question 5Find the sixth term of the geometric sequence

a) b) c) d)

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 = 64b. r = -3, a5 = -11, a6 = -14, a7 = -17c. r = -2, a5 = 16, a6 = -32 a7 = 64d. r = 3, a5 = -5, a6 = -2, a7 = 1

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)

Question 8

5) For the functions a) b) c) d)

Question 9

Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…A. an = 6n +1B. an = -6n + 1C. an = 6n -5D. an = -6n + 5

Question 10Write an explicit rule for the sequence 4, 12, 36, 108,…a. b. c. d.

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) =

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,….

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

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

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) =

Question 16Find the 22nd term for the sequence 9, 14, 19, 24…

Question 17For the function , find f(2).a. 2b. 0c. 28d. None of these

Question 18Write a recursive rule for the sequence -12, -13, -14, -15….

Question 19Use the graph below to find the x-value whena. 3b. 0c. 5d. Not definded

Question 20Write an explicit rule for the sequence 21, 25, 29, 33…

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.

Question 22Find the next 3 terms in the sequence 18, 12, 6, 0…

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.

Question 24Write an explicit rule for the sequence 6, 18, 54…

Question 25Find when .a. -3b. -

c. 3

Question 26Write a recursive rule for the sequence -4, 0, 4, 8….

Question 27Find when and

Question 28Find the next 3 terms in the sequence 13, 16, 19, 22…

Question 29Find when

Question 30Write a rule for the nth term of the sequence 6, 24, 96, 384, … Then find a7.