To be or not to be a function
Linear or Non-linear
Create the Equation
Sketch it Out
Grab Bag
Erik's Challenge Problems (First Four 400 Each) Last one is a tiebreaker at the end
100
Is this a function?
It is a function
100
Is this a linear or non linear function?
What is non linear?
100
Create the equation:
Y-Intercept: -5
Slope
1/2
y=1/2x+(-5)
100
A plane is starting at a height of thirty thousand feet. It is descending at a constant rate all the way to landing. Let x represent the time and y represent the height above the ground.
Sketch a graph to represent the function.
(Josh or Samantha remember to sketch the graph)
Start higher on the y axis then a straight line going down and diagonal to zero.
100
Initial Value is a synonym for the term:
A) Slope B) Input
C) Output D) Y-Intercept
What is D, Y-Intercept
100
Josh wants to buy a new bike that costs $150. He has already saved $75 and plans to save $25 each week from the money he earns from doing chores. He thinks he will have saved enough money after 7 weeks. Would he have enough money to`buy the bike?
equation: y=25x+75
he would have enough (7,250)
200
Is this a function?
No, this would not be considered a function
200
Is this equation considered linear or non linear?
y=-5x+10
It would be considered linear
200
What is
y=2/3x+(-2)
200
Nayshawn and Creed are going on a hike. They are starting at the trailhead and hike at a constant rate for two hours then they took an hour break for lunch then continued hiking at a constant rate for another three hours.
Let the x axis represent the amount of time and the y axis represent the distance from the trailhead.
(Josh or Samantha remember to sketch the graph)
Positive incline to two hours, flat for one hour, return to a positive incline for three hours.
200
What is another way you can say slope?
What is Rate of Change?
200
An airplane at 25,000 feet begins its descent. The plane descends 400 feet per minute. Write an equation in the form y = mx + b to model the height of the plane during its descent.
y=-400x+25000
300
Is this a function or not?
It is not a function
300
Is this linear or non-linear?
What is non-linear
300
Write the equation of a line that has:
A rate of change of -3 and a initial value of 6
y=-3x+6
300
Describe what is happening at each interval of this graph
Increases, Stays Constant, Increases in altitude again, Decreases in altitude back to the ground.
300
What are some clear signs that a relation (a set of input and outputs) is not a function
If an input has multiple outputs
300
Samantha is tracking how much food she feeds her dogs each week. After 4 weeks she has used 9 and ¼ cups of dog food. After 7 weeks, she has used 24 and ½ cups. Construct a function in the form y = mx + b to represent the amount of dog food used, y, after x weeks.
y=(15.25/3)x+(-11.08)
400
Josh did an experiment on study time and quiz grades with his 7th grade class. He recorded them in points where x represents time studied and y represents their grade and this was his recorded data:
(1,74)(0,83)(1,74)(3,89)(3,92)(4,95)(5,99)
Is this considered a function?
It would not be considered a function
400
Would this be considered a linear or non linear function?
What is linear?
400
Nayshawn is running a constant speed x=0. After 6 minutes, he has run 360 feet. What is the linear function in the form of y=mx +b represent the distance in feet y, Nayshawn has run any number of minutes, x.
y=60x
400
Identify which parts of the function are increasing, decreasing, or staying constant.
2,5 - Constant
3 - Decreasing
1,4- Increasing
400
To check if a graph is linear or non linear you have to perform this test.
What is the vertical line test?
400
The cost to manufacture 3 toys is $14; the cost to manufacture 8 toys is $25. Construct a linear function in the form y = mx + b that represents the relationship between the number of toys produced and the cost of producing them.
y=5.5x-2.5
500
Is the equation
x=4 a function?
It would not be considered a function
500
Is this equation linear or non-linear?
y=x^2
Non-Linear
500
Write the equation of a line that
Passes through the points (1,7) and (4,10).
What is y=1x+4
500
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
(Josh or Samantha remember to sketch the graph)
Steep slope for 30 mins, flat line for 20 mins, not as steep of a slope for 30 mins.
500
Speed is typically represented by
(distance)/(time)
. In a linear function equation what part of the equation would this be a part of?
A) Input B) Slope
C) Y-Intercept D) Linear Fiction
It would be considered the slope
500
I put a random number between 1 and 1000 whoever guesses the closest gets 200 points
463