4-1
Chet gets $12 a day for allowance. Write an equation to determine how much money c he has after d days.
c = 12d
What are the definitions of the following words: relation, domain, and range.
Relation: set of ordered pairs
Domain: set of x-values
Range: set of y-values
Determine whether the relation is a function and explain:
{(2, 3), (-1, 5), (1, 9), (0, 5), (-2, 4)}
Yes, no repeat in domain
A repairman charges $60 for a service call and an additional $40 per hour. Write a function to represent the cost, c(h), based on the number of hours, h.
c(h) = 60 + 40h
Snowflakes usually have how many sides?
6 sides
Boat rentals are $50 plus $4 per hour. Write an equation and determine the cost for 4, 5, or 6 hours.
c = 50 + 4h
$66, $70, $74
Identify the domain and range:
{(-2, -4), (-1, 5), (-6, -4), (3, 0), (1, -4)}
Domain: {-6, -2, -1, 1, 3}
Range: {-4, 0, 5}
f(x) = -2x - 5
Evaluate: f(-5)
f(-5) = 5
Identify the independent and dependent variables:
Marvin pays $40 a month for his cell phone and an additional $10 per GB of data he goes over.
Independent: # GB extra
Dependent: Total Cost
What do Canadians use toboggans for?
Going down hills on snowy days
A florist sells roses by the dozen. Given the ordered pairs (2, 40), (3, 60) and (5, 100), write an equation to find the total cost c for r dozen roses.
c = 20r
Andrea has $10 and earns $4 per hour. Find the domain and range for how much money she has after 2, 3, and 4 hours.
Domain: {2, 3, 4}
Range: {18, 22, 26}
g(x) = -3x2 + 2
Evaluate: g(-5)
g(-5) = -73
Discrete or continuous?
Mary is given $5 from the tooth fairy for each tooth that she loses.
Discrete
What is a chinook?
Warm winter wind
Swimming lessons for 2 children costs is $36, 3 children cost $39, and 4 children cost $42. Write an equation to represent the total cost t for c children.
t = 3c + 30
If the domain of the function is {-2, 0, 2}, find the range: y = 2x - 1
Range: {-5, -1, 3}
f(x) = x - 10
g(x) = 9 - 2x
Evaluate: g(f(-1))
g(f(-1))=31
Abby purchases apples at the store that cost $1.99 per pound
Continuous
When is the next leap year?
2020
Write an equation in slope intercept form given two points on the line: (-3, 1) and (-2, 4)
y = 3x + 10
If the domain of the function is {-2, 0, 2}, find the range: -3x + y = 3
Range: {-3, 3, 9}
f(x) = 2x2 + 12
Evaluate: f(x) = 44
x = 4 or -4
Ron got a cell phone rate of C(m) = 15 + 0.10m. How many minutes did he talk if he spent a total of $20.
50 minutes
How many months have 28 days?
All of them