Relations and Functions
True or False? The set of input values is the x values.
True
What is standard form of a linear equation?
Ax +By = C
What does k always equal and what is k called?
k=y/x and k is the constant of variation
A candle is 10 inches tall after burning for 2 hours. The same candle is 8 inches tall after burning for 7 hours. What is the slope of the equation that represents the amount the candle burns over time?
-2/5
Does Ms. Boohar like Tesla's?
Not at all.
What is a function?
Draw a graph where the slope of the line is undefined.
Vertical line
Determine if the following equation is an example of direct variation: 8y +6y = 0.
Yes it is direct variation.
Draw an example of a scatter plot with a negative correlation.
Dots on the graph in a downward slope pattern but not linear.
Nike or Adidas?
Nike, duh.
What are the 3 other ways that relations can be represented? The first one is a graph. Name 3 more.
Ordered pairs, mapping diagrams, and tables.
Find the slope given the two points (2, 2) and (-6, 4). Simplify your answer to a reduced fraction.
-1/4
Determine if the following equation is an example of direct variation: 8y + 1 = x.
No it is not direct variation.
What is the name of a line that approximates the relationship between the data sets of a scatter plot that you can use to make a prediction?
a Trend Line.
What is Ms. Boohar's favorite color?
Green.....fly eagles fly
What is the range of {(1, 2), (3, -1), (0, 0), (9, 12), (2, -1), (3, 7)}?
{-1, 0, 2, 7, 12}
Write the equation of a line is standard form given the slope is m=3 and it passes through the point (4, -1).
-3x+y=-13 or 3x-y=13
Given that y varies directly with x and x = 10 when y = 15, find y when x = 44.
y = 66
Write a linear model for the following scenario: Yeshiva charges you $150 to go on a field trip to New York plus $12 for every meal you eat on the trip.
y = 12x + 150 where y is the total cost of the trip per person and x is the amount of meals you eat.
What NFL team is Ms. Boohar's second favorite team?
Baltimore Ravens
Is this relation also a function? {(9, 8), (9, 8), (1, 2), (0, 2), (7, 5), (-1, -2)}
Yes! Each x only has a single y value.
Write an equation of a line that is perpendicular to y=9x-3 and passes through the point (0, 4).
y=-1/9x+4
In the equation 7y - 5x = 0 determine if y varies directly with x. If it does, tell me the constant of variation.
Yes it does and k = 5/7.
Write a linear model for the following scenario: The cost for 7 guitar lessons is $82. The cost for 11 lessons is $122. y=mx+b form!!!!!!!!!!!
Then, use this model to find the cost of 4 lessons.
y = 10x - 813 and $52
What sports did Ms. Boohar play in high school?
Soccer, Track, and Football :)