Writing Linear Functions
Slope
Intercepts
Modeling with Linear Functions
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
What are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
Samantha is planning a trip to a concert. She already has $40 saved. Each concert ticket costs $25.
Write a linear equation for this problem
Y=25x+40
200
Write the linear function in this graph:
y=20x-15
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
What are the x and y-intercepts of the linear function:
4x+2y=8
x-intercept: 2
y-intercept: 4
200
You are renting a car. The rental company charges a base fee of $20 for the day and an additional $15 per hour. Write a linear equation to model the total cost, C, of renting the car for h hours. Then, calculate the total cost for 8 hours
C=15h+20
The total cost of renting the car for 8 hours is $140.
300
3x-2y=10
y=3/2x-5
300
What is the slope of the linear function
y = 14
0
300
What are the x and y-intercepts of the linear function
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
You have a savings account where you deposit $200 each month. After an initial deposit of $1,000, write a linear equation to model the total balance, B, of your savings account after mmm months. Then, calculate the total balance after 6 months.
B=200m+1000
The total balance of your savings account after 6 months is $2,200.
400
Write a linear function that contains the points (0,2) and (-4,5).
y =3/4x +2
400
Find the slope of a linear function that contains the points (-2.5 , 9) and (5 , -13.5)
m=(-13.5-9)/(5-(-2.5))=-22.5/7.5
m=-3
400
What are the x and y-intercepts of the linear function:
-10x + 6y = -30
x-intercept: 3
y-intercept: -5
400
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y=100x+25
500
The price of a movie ticket depends on the number of people in a group. A movie theater charges a base fee of $10 per person for groups of up to 5 people. For every additional person after 5, there is a charge of $8 per person. Write a linear function to model the total cost, C, of tickets for a group of p people. Then, find the total cost for a group of 8 people.
The total cost for a group of 8 people is $74.
500
A runner starts a race at point (0, 0) and runs to point (4, 12) in a straight line. The runner's distance in meters is represented by the vertical axis (y-axis), and the time in minutes is represented by the horizontal axis (x-axis).
Find the slope of the line that represents the runner's speed.
The slope of the line is 3. This means the runner covers 3 meters every minute.
500
Identify the slope and y-intercept of the standard form equation
-5x + 3y = -15
Slope intercept form y = (5/3)x - 5
Slope: 5/3
y-intercept: -5
500
You are taking a taxi, and the fare consists of a base charge of $3.50 plus $2.25 for every mile traveled. Write a linear equation to model the total fare, F, for traveling mmm miles. Then, calculate the total fare for traveling 10 miles.
F=2.25m+3.50
The total fare for traveling 10 miles is $26.00