(LT 1.b & 1.c)
Given the sequence 4, 8, 16, 32, ...
describe the pattern.
Multiply the previous term by 2
or
Double the previous number

Describe the pattern between remaining money and tickets bought.
The amount of money starts at $40 and decreases by $5 for every 1 ticket bought.
Write an equation for: A car rental costs $30 flat plus $0.20 per mile (m). Write an equation that expresses total cost (c).
c = 30 + 0.20m
Using m = 80 - 4c, how much money is left on the gift card after buying 7 coffees?
$52
A sequence decreases by 6 each time starting at 50. What are the first 3 terms?
50, 44, 38

Is the sequence arithmetic?
Explain why or why not.
No, because you multiply by 2 each time instead of adding/subtracting a constant amount (no common difference)
Does this represent an arithmetic sequence? How do you know?
Yes, because the cost increases by a constant rate of $15 each month.
A phone plan charges $15 plus $5 per gigabyte (g) of data. Write an equation for total cost (C).
C = 15 + 5g
Using p = 160 + 50h , how many people (p) will be at the fair after 6 hours?
460 people
A food truck makes $120 in base pay plus $8 per meal sold. Write the equation for total pay (P) for m meals.
P = 120 + 8m
Find the next two terms in the geometric sequence:
2, 6, 18,___, ___
54 and 162
Write an equation for the store's rewards program.
p = 50 + 10v
or p = 10v + 50

Write an equation for toothpicks (T) given triangles (n).
T = 2n + 1
Using the formula s = 2t + 2 (for square tables in a line), how many seats are there for 12 tables?
26 seats
A bakery starts with 150 cookies and sells 12 per hour. How many cookies are left after 5 hours?
90 cookies
Is the sequence 18, 14, 10, 6, ... arithmetic?
Explain why or why not.
Yes, because it has a common difference of 4
or
subtracts 4 each time
Write an equation for the gift card.
m = 80 - 4c
or m = -4c + 80
Marcus has $200 in a savings account and deposits $25 each week. Write an equation for total money (m) after w weeks.
m = 200 + 25w
Using m = 125 - 15w , how much money does Victor have left after 6 weeks?
$35
Write an equation for the sequence: 7, 10, 13, 16, ... where y is the value and x is the term number (x=1, 2, 3,...).
y=3x+4
Identify if the sequence 1, 4, 9, 16, ... is arithmetic and find the next term.
Not arithmetic (differences are 3, 5, 7)
the next term is 25

Write an equation for gallons remaining (g) after m minutes.
g = 500 - 25m

Write an equation for total seats (s) given tables (t).
s = 4t + 2
Given m = 3 + 7d, how much money does Jackie earn if she works for 15 days?
$108
A plant is 5 cm tall and grows 1.5 cm per week. Write an equation and find its height after 10 weeks.
h = 5 + 1.5w
Height after 10 weeks: 20 cm