Identifying Slope
Identifying Y-intercept
Given the domain, List the range
Direct Variation
Write the equation
100
What is the slope: y = 8x + 5
8
100
What is the y-intercept? y = mx + b
b
100
Given the function y = 3 + x and the domain 2, 4, 6 What is the range?
y = 5, 7, 9
100
Is this a direct variation equation? y = -2x + 5
No
100
Bob gets 5 dollars a week from his grandma. Create an equation for the function where x is the number of weeks and y is the total amount he has received.
y = 5x
200
What is the slope? y = -x + 6
-1
200
What is the y-intercept? y = -3x + 5
5
200
Given the domain/function --- y = 1/2 x and x = 2, 4, 6 what is the range?
y = 1, 2, 3
200
Is this a direct variation equation y = -x
Yes
200
Nina makes $7.50 an hour at her job. Write the function when h is the number of hours and t is the total money earned.
7.50h = t
300
What is the slope? y = 1/3x + 3/4
1/3
300
What is the y-intercept? y = 3x
0
300
Given the range y = 1, 2, 3 and the function y = x + 4, What is the domain?
x = -3, -2, -1
300
Is this a direct variation equation? 2y + 2x = 0
yes (When solving for y you get y = x )
300
John works at a restaurant where he gets tips. On a busy Saturday he made $83 in tips as well as $4 an hour. Create the function where t is the total number of dollars made and h is the number of hours he worked.
t = 4h + 83
400
What is the slope? 3y = 6x + 12
2
400
What is the y-intercept? 2y = 4x + 10
5
400
Given the function: y = 5x + 2 and the domain {-2,-1,0,1,2} what is the range?
range = {-8, -3, 2, 7, 12}
400
What is the constant of variation? -3x = y
-3
400
Beth works 10 hours as a babysitter and doesn't know how much she makes hourly. At the end of the evening, the parents hand her 93 dollars. Write the function to figure out her hourly wage and solve.
10x = 93.... x = $9.30 an hour
500
What is the slope? -6y = 24x + 6
-4
500
What is the y-intercept? 3x + 9y = 18
2
500
Given the range: {-9,-6,-3,0} and the function y = 3x, what is the domain?
{-3, -2, -1, 0}
500
Is this a direct variation equation? 1/4x = y
yes
500
Tony delivers pizza for a living and receives 25 dollars in tips one evening. He also makes 8 dollars an hour. Write this problem as a function where t is the total amount of money made and h is the number of hours Tony worked.
t = 8h + 25