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Unit 5, Linear Functions
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What is the dependent variable?
Height of the candle (inches)
What is the independent variable?
Number of hours
Write an equation representing the situation
y = -1x + 10
What is the y-value in this ordered pair? (1,0)
0
What is the x-value in this ordered pair? (-9,0)
-9
A relationship where each x-value has only ONE y-value
function!
The second number in an ordered pair
y-value
The first number in the ordered pair
x-value
The 2 numbers the name the locations of a point (#,#)
Ordered pair, coordinate point
What is the slope (rate of change) of this linear function?
$15 per hour
Write an equation for the following: A plumber charges $50 to make a house call plus $40 for each hour worked.
y = 40x + 50
If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?
y = 3x + 2
The candle was 2 inches at what hour?
8 hours.
What was the candle's height at 5 hours?
5 inches
What was the initial height of the candle?
10 inches
How fast is the candle burning? (rate of change/slope)
1 inch per hour
What does the y-intercept (20) represent in this situation?
The initial charge of renting games
To find the slope of a line, we can calculate the ________ over _______
rise, run
What do the following words/letters represent: dependent variable, y
output
What do the following words/letters represent: independent variable, x
input
Which axis represents the dependent variable?
y
Which axis represents the independent variable?
x
What is the slope and y-intercept of the equation: 4x - 7 = y
Slope: 4, y-int: -7
What is the slope and y-intercept of the equation: y = -3x + 12
Slope: -3, y-int: 12