Slope
What letter is used to represent slope in a linear equation?
M
Bill charges 75 dollars for an initial consultation then 40 per hour for his landscape services. If I hired him to work 15 hours this month, how much will I owe him?
Write the Equation and the answer.
y=40x+75
$675
A cell phone plan costs $25 per month for unlimited calling plus $0.15 per text message.
Write a linear model that represents the monthly cost of this cell phone plan if the user sends x text messages.
y=0.15x+25
Write in Function Notation:
Make sure you simplify!
4x-2y=24
f(x)= 2x-12
Does the moon have earthquakes?
Yes
What is the slope-intercept form of a linear equation?
y=mx+b
A taxi company charges a base fee of $3.50 and $2.00 per mile.
How much would it cost to travel 25 miles?
y=2x+3.5
$53.50
Name the 3 synonyms for the y value of a function
Output
Range
Dependent Variable
What are 3 synonyms for the x value of a function:
Input, Independent Variable, and Domain
What is the Mythical creature that leaves footprints in the ground?
Bigfoot, Yeti, or Sasquatch
What is the slope of the equation:
4x – 3y = 18
4/3
To ride on an airplane, there is an initial fee of $400, and then it will cost $0.25 per mile traveled. What equation would represent this situation?
y=0.25x+400
Mr. Riddler is on a diet. He currently weighs 258 pounds. He loses 4 pounds per month.
Write a linear model that represents Mr. Riddler’s weight after x months.
What's the y-intercept?
y=-4x+258
258
Given f(x) = -½ x –3
What is f(4) and f(-2)
f(4)= -5
f(-2)= -2
True or false:
Humans are the only animals that blush.
True
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days in slope-intercept form.
What is the water level after 12 days?
28 ft
Mr. Cleaver has $40,000 in his bank account. Every month he spends $1500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.
y=-1500x+40000
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form. What is the y-intercept of the equation?
y=50x+25
b=25
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost in function notation, of renting a canoe for x hours.
f(x)=30x+20
Which is not a real fear?
Bibliophobia
Colbephobia
Genuphobia
Pyrophobia
Colbephobia. I made it up.
A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of the number of x people.What is the slope of this function and what does the slope represent?
slope is $8 and the cost per person
Wally and Cobb are starting a catering business. They rent a kitchen for $350 a month, and charge $75 for each event they cater. If they cater 12 events in a month, how much do they profit?
$550
What is: 12 DVDs
What is: 80
A city parking garage charges a flat rate of $3.00 for parking 2 hours or less, and $0.50 per hour for each additional hour. Write a linear model in function notation that gives the total charge in terms of additional hours parked.
f(x)=$0.50+3
No, Elephants are the only mammals that can't jump.