Writing Equations 1
Write an equation that shows the cost, c, after h hours of service, for the following - A plumber charges $25 for a service call plus $50 per hour of service.
What is c = 50h + 25 ?
Point (7,2) Slope 3
What is y-2=3(x-7)
y= 3x - 19
The next 3 terms for: 5, 7, 12, 19, 31
What is 50, 81, 131
The following coordinates are part of a table
What is the equation for the table: (8,3), (11,3), (14, 9), (17, 12), (20, 15)
What is y = x -5
What are two ways you can find the y-intercept from a table or an equation?
Table: look for an x-coordinate of zero and the y-coordinate has a number
Equation: Look for a number in the place where b is in y=mx + b
The equation for the total pounds, p, of aluminum cans after w weeks, for the following - Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week.
What is p = 25w + 100 ?
Point (3,2) Slope 2
What is y-2=2(x-3)
y = 2x - 4
The next 3 terms for: 6, 12, 18, 30, 48
What is 78, 126, 204
The following coordinates are part of a table
What is the equation for the table: (10, 1), (20, 2), (30, 3), (40, 4), (50, 5)
What is
y = 1/10x
Name a linear equation that will graph steeper than y=5x+2
anything with a coefficient greater than 5
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation in slope-intercept form representing the cost, c, of renting a canoe for h hours.
What is c = 30h + 20
Point (-15, -8) Slope 2 .
What is y+8=2(x+15)
y = 2x + 22
You are given the terms: -6, -4, -2, 0, 2 what is the equation of this sequence
What is: y = 2x - 8
The following coordinates are part of a table
What is the equation for the table: (1, 5), (2, 15), (3, 25), (4, 35), (5, 45)
What is y = 10x - 5
How will a linear equation be written if the line goes through the origin? What is this equation called?
y = mx
Direct Variation
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form representing the total c, of the attorney’s fee as a function of the hours, h, worked.
c = 150h + 250
Point (3,30) Slope -4
What is y-30=-4(x-3)
y = -4x + 42
You have completed 15 math homework (term 1) problems. Every minute you complete two more. What are the next three terms in the sequence? What is the common difference? What is the equation of the sequence? How many total math problems would complete after 7 minutes?
17, 19, 21
CR: +2
y = 2x + 13
y = 27 problems
The following coordinates are part of a table
Write an equation for the table: (6, 38), (8, 50), (9, 56), (12, 74)
What is y = 6x + 2
How do you find the point of intersection in a table?
The x value will be one number and both y values will match
Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. Write a linear model representing the total cost (c) of her weekly expenses as a function of the number of dessert baskets, d, made.
c = 2.5d + 200
(0, 3/4) (-3, 3/4)
y = 3/4
A collector has 75 souvenir spoons (term 1). She buys five more every year. Write the linear equation of this sequence. Find the 11th term.
f(x) = 5x + 70
125 spoons
The following coordinates are part of a table
Write the equation for the table: (10, 0), (20, 200), (30, 400), (40, 600)
What is y = 20x - 200
A table adds or subtracts by the same number all the way down the y column. The table has a ....
Constant Rate of Change