Finding the slope and y-intercept
Writing equations in slope intercept form
Interpreting the slope and y-intercept
Interpreting the y-intercepts
Past Unit review
100
What is 6/1
100
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, y, after x hours of babysitting.
y=5x + 3
100
The equation below shows the cost of an ice cream sundae with different numbers of toppings. Interpret the slope and y-intercept
y = 0.75x + 2.25
Slope: $0.75 per topping
(0, 2.25) The original cost of the sundea before toppings is $2.25
100
You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people and large tables seat 6 people. Interpret the x and y -intercepts
(45, 0) You can have 45 small tables and zero large tables
(0, 30) You can have 30 large tables and zero small tables
100
What is the definition of a function?
A relation where for every input there is one unique output
200
m=-2/1
b = (0, 50)
200
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y= 5x + 20
200
The graph shows the height y (in feet) of a flag x seconds after you start raising it up a flagpole. Find and interpret the slope. b. Write an equation of the line.
m= 3/2
The flag is rising 3 ft every 2 seconds
200
You make and sell decorative bows. You sell small bows for $3 and large bows for $5. You want to earn $60 per week. Find and interpret the intercepts.
(20, 0) You can sell 20 small bows and 0 large bows and still make $60
(0, 12) you can sell 12 large bows and 0 small bows and still make $60
200
Solve for x
2(x-5) + 15 = 3
x= -1
300
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Find the slope and y-intercept
m= 4/1
b= (0,30)
300
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y= 3/2x + 4
300
The equation below shows the cost (y) to attend the fair if you ride x rides. Interpret the slope and y-intercept
y= 7/4x + 5
m= $7 for 4 tickets
(0, 5) the cost to get in the fair before going on any rides
300
HIKING The graph relates temperature y (in degrees Fahrenheit) to altitude x (in thousands of feet). Interpret the y-intercept in the context of the problem
(0,59): it is 59 degrees at sea level
or
it is 59 degrees when the altitude is 0 feet
300
in a right triangle, side a = 5 and side c=13. What is the measurement of side b?
b=12
400
Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost of printing the calendars.
m= 3/2
b = (0, 500)
400
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 in slope intercept form that represents the water level(y) after x days
y=-1/2x + 34
400
The graph below shows the number of newspapers delivered and total pay for Leona’ newspaper delivery job. What does the slope of this graph represent?
b=(0,0) before delivering papers, she has not made money
m= 1/4 $1.00 for every 4 newspapers delivered
400
TRAVEL Your family is driving from Cincinnati to St Louis. The graph relates your distance from St Louis y (in miles) and travel time x (in hours). Interpret the intercepts
(0, 360) before leaving there is still 360 miles to drive
(6,0) after six hours you have arrived at St. Louis
400
simplify the expression
y12 x y13 x y
y26
500
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Find the slope and y-intercept
m= -2000/1
b = (0, 30,000)
500
Formula costs $50 per can. Mrs. Johnson figured out she spends $2.50/day on formula. Write and equation that can help Mrs. Johnson figure out how many days she will have before the formual runs out.
y=-5/2x + 50
500
Dionne pays a fixed fee plus an hourly rate to rent a boat. The table below shows how much Dionne paid for the boat. How much does he pay per hour? What was the fixed fee?
$12/hour is the slope
(0,15) the fee is $15 before renting the boat
500
You are downloading a song. The percent y (in decimal form) of megabytes remaining to download after x seconds is y = −0.1x + 1.
Interpret the x and y-intercepts
(0, 1) There is 100% of the song left to download.
(10, 0 ) after 10 seconds, the song is fully downloaded
500
solve for x:
5x -8 = 11 -7x + 12x
-8=11
NO SOLUTION