jeopardy functionsequationsformulas explicit formulas recursive formulas 11111 5 4 3 22 222 333 3 4...
TRANSCRIPT
JEOPARDY
Functions Equations Formulas Explicit Formulas
Recursive Formulas
1 1 1 1 1
5432 2 2 2 2
3 3 3 3
4 4 4 45 5 5 5
Functions 1
ANSWER
Is this a graph of a function?
ANSWER
Functions 1
Jeopardy
YesBecause it does pass the vertical
line test
Functions 2
ANSWER
Does the table below describe r as a function of s?
S 1 1 2 3
R 3 -3 6 9
No. each s-value is NOT paired with exactly one r-value
ANSWER
Functions 2
Jeopardy
Functions 3
ANSWER
Identify the domain and range of the function.
{(2,4),(7,11),(9,13),(8,-4)}
ANSWER
Functions 3
Jeopardy
Domain {2,7,9,8}
Range {4,11,13,-4}
Functions 4
ANSWER
?Then
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Functions 4
Jeopardy
273
What real numbers are not in the domain of
Justify your answer
Functions 5
ANSWER
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Functions 5
Jeopardy
5 and -5
Solve for y
3y+60 = 5y+42
Equations 1
ANSWER
ANSWER
Equations 1
Jeopardy
y = 9
Equations 2
ANSWER
Sam was selling apples to raise money. For each 20 pound box of apples sold,
the club raised $2.50. How many boxes must the club sell to raise $112.50
ANSWER
Equations 2
Jeopardy
45 boxes
Equations 3
ANSWER
Solve the equation
x = 210
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Equations 3
Jeopardy
Equations 4
ANSWER
A concert group plans to visit 3 cities on a tour. One third of the total distance to be traveled by the group is from its home city to the first city. One fifth of the total distance is from the first city to the second city. It is 273 miles from the
second city to the third city. Find the total numbers of miles traveled.
ANSWER
Equations 4
Jeopardy
d = 585 miles
Equations 5
ANSWER
Stuart works part-time to earn spending money and to save for college. Each month he plans to save ¼ of his earnings, to spend 1/5 of his earnings on clothes and to spend 1/6 of his earnings on transportation. The remainder will be used for entertainment. Last month Stuart had $46 to spend on entertainment. How much did he earn last month?
ANSWER
Stuart earned $120 last month.
Equations 5
Jeopardy
Formulas 1
ANSWER
d = r tWhere d is distance, r is rate and t is time.
Calculate the distance traveled on an air plane going at a rate of 650 miles per hour for 2.5
hours
ANSWER
1625 miles
1
Jeopardy
Formulas
Formulas 2
ANSWER
Solve for n in the formula
ANSWER
Formulas 2
Jeopardy
2
82
t
n
Formulas 3
ANSWER
A = lw
What is the width w of a rectangular room that has a length l of 28 feet and an area A
of 84 square feet?
ANSWER
Formulas 3
Jeopardy
3 feet
Formulas 4
ANSWER
The cost of an adult ticket to the movies costs $8 and the cost of a child’s ticket is $6. Let a = the number of adults and c = the number of children. Write an formula representing the total profit p for the movie theater.
ANSWER
Formulas 4
Jeopardy
p=8a + 6c
Formulas 5
ANSWER
Sara recently bought a house. She made a down payment of $10,600 and will make payments of $369.35 each month.
• Write a formula that gives the total amount p she has paid as a function of the number of months n she has been making her payments.
• Find the total amount she will pay if she pays the house off in 15 years.
ANSWER
Formulas 5
Jeopardy
a. p = 10600 + 369.35n
b. 77,083
Explicit Formulas 1
ANSWER
If
Find
ANSWER
Explicit Formulas 1
Jeopardy
4096
Explicit Formulas 2
ANSWER
Write the notation for “s sub 4 equals 81”
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Explicit Formulas 2
Jeopardy
Explicit Formulas 3
ANSWER
Consider the sequence t of squares of consecutive positive integers.
a. What is the value of
b. Give an explicit formula for
ANSWER
Explicit Formulas 3
Jeopardy
a. 16
b.
Explicit Formulas 4
ANSWER
Which is an explicit formula for the nth term of the sequence 3, 6, 11, 18, 27…?
a.
b.
c.
ANSWER
Explicit Formulas 4
Jeopardy
c
Explicit Formulas 5
ANSWER
At the end of each week at a discount store, the price of all the remaining items is reduced by 10%. So after week n, the price of a $60 jacket is given by
. Find the price of the jacket after 3 weeks if it remains unsold.
ANSWER
Explicit Formulas 5
Jeopardy
$43.74
Recursive Formulas 1
ANSWER
The first term is -3; each term after the first is 7 less than the previous term. List the first 3
terms
ANSWER
Recursive Formulas 1
Jeopardy
-3,-10,-17
Recursive Formulas 2
ANSWER
Represents which term of a sequence?
ANSWER
Recursive Formulas 2
Jeopardy
The previous term
Recursive Formulas 3
ANSWER
List the first 4 terms of the recursive formula
ANSWER
Recursive Formulas 3
Jeopardy
3,15,75,375
Recursive Formulas 4
ANSWER
Consider the sequence 9,7,5,3….
Use symbols to write a recursive definition for this
sequence.
ANSWER
Recursive Formulas 4
Jeopardy
Recursive Formulas 5
ANSWER
Debbie has 520 books in her library. Each year she buys 50 new books.
a. Write a recursive formula that gives the number of books in Debbie’s library in year n
b. How many books will she have in her library ten years from now?
ANSWER
Recursive Formulas 5
Jeopardy
a.
b. 1020 books