Recursive & Explicit
Create a recursive function for the following sequence: 3, 4, 5, 6
f(x)=f(x−1)+1
Solve for x
e=rx
x = e/r
What is the initial value in this equation C = 10t + 20?
What is 20?
Solve 34+x=100
66
Find the slope:
(2, 1) and (3, 5)
4
Create an explicit function using this sequence:
4, 8, 12, 16
f(x)=4x
Solve for x
7x=t
x = t/7
An editor charges a per page fee to edit a book. The current book being edited is 304 pages. If the editor charges $3,344 to edit the book, what is the per page fee?
What is $11.00?
-8a + 1 = -23
a= 3
Find the slope:
(-16, -11) and (-7, -16)
-5/9
Create a recursive function for the following:
X 2 3 4
Y 5 10 15
f(x)=f(x−1)+5
Solve for j
2p=kj-q
j = (2p + q)/k
The relation between number of toppings on a pizza and cost is represented by the equation C = 0.50t + 10. What is the initial value and what does it represent?
What is $10, and it represents the cost of just the pizza.
M / 16 = 8
m = 128
(-5, -2) and (5, -4)
y=-1/5x-3
given the Explicit formula: f(x)= - 13x + 40
List the first 3 terms and rewrite as a recursive formula.
first 3 terms: {27, 14, 1}
f(x) = f(x - 1) - 13
Solve for t
at-c=b
t = (b+c)/a
Suzy charges $28/hour for babysitting. For a 4.5 hour job she charged $141. What is her initial fee that she charges?
What is $15.
27x-84=21x-7+5
41/3
(4, -4) and (0, 4)
y=-2x+4
Given the recursive function: f(n) = f(n - 1) - 12,
f(1) = 17,
write the first 5 terms and rewrite as an explicit formula
f(n) = - 12n + 29
first 5 terms {17, 5, -7, -19, -31}
Solve for x1
m = (y2 - y1) / (x2 - x1)
x1 = x2 - m / (y2-y1)
Ms. Singh held a party for 50 people. She paid a total of $2000. If the initial fee to rent the place is $500, how much was rate of change and what does it represent?
What is $30 per person?
7+4(x−4)=6x−(5x+10)
x= −1/3
(9,120) and (2,40)
y = 80/7x + 120/7