Linear Relations
More Linear Relations
Rate of Change/Slope
So Many Linear Relations!
Miscellaneous
100
Which one is linear?
C
100
Which is the independent variable in y = 2x + 3?
x
100
Is this slope positive or negative?
Positive
100
in the relation y = -5x - 2, what is the y-intercept?
-2
100
What energy drink do I usually have in the mornings? (Bonus if you know the flavour: 200 points)
Rockstar (Fruit Punch)
200
Represent in another form
y = x - 1
OR
200
What is the domain and range of this graph?
D: {x | -4 <= x < 3, x is a real number}
R: {y | -5 <= y <= 5, y is real number}
200
What is the slope of a line whose rise is 14 and run is -2?
-7
200
The y-intercept is
A. the value of the independent variable when the dependent variable is zero; sometimes called the initial value.
B. the value of the dependent variable when the independent variable is greater than zero; sometimes called the initial value.
C. the value of the dependent variable when the independent variable is zero; sometimes called the zero value.
D. the value of the dependent variable when the independent variable is zero; sometimes called the initial value.
D
200
Given a function, f(x) = 225(x - 5) + 25, What is the value of x, when f(x) = 10?
x = 74/15
300
Express in another form:
y = 2x + 4
or
300
What is the y-intercept for the line y = 24x + 23?
23
300
What is the slope of the line passes though points (2, 7) and (6, -1)?
-2
300
Convert y-7 = 22*(x - 13) into general form
22x - y -279 = 0
300
A given function, f(x) = 2*(x+2) + 32, is a straight line when graphed. Give a function of a parallel line.
f(x) = 2*(x+1) + 11
400
Is this relation linear? Explain why/why not.
YES
As x-values increase by 1, y-values(first differences) increase by 3. x=3 is missing but the pattern remains consistent for x=4 and up.
400
Which graph represents the line y = -2x + 4?
C
400
A graph has a y-intercept of -5 and an x-intercept of -3. What is the slope?
-5/3
400
convert to slope form(y=mx+b)
3x + 2y = -16
y=-3/2x-8
400
2 champions from each team no notes:
- Big team can give hints
- Given a question at random
- First to get the correct solution gets a bonus 200 points
?
500
Data that can take on only integer values is known as
Discrete
500
A sand castle shrinks in height by 5cm every hour. The castle started at 50cm and is completely gone after 10 hours.
a)How much did it shrink per hour?
b)What would be the slope of the graph?
c)What would be the y-intercept of the graph?
d)What would be the dependent variable for this situation?
a)5cm/hr
b) - 5
c)50
d)Height
500
A gym charges a set membership fee, then a set cost per visit, as seen in the diagram.
a)What is the cost per visit(aka the slope)?
b)What is the membership fee(aka the initial value)?
c)What is the equation for this relation?
a) $2/visit; Slope = 2
b) Membership fee is $40 ; initial value/y-int = 40
c) y=2x + 40
500
A museum offers two types of memberships:
1)$6 per visit OR 2) a flat fee of $10 and 3$ per visit
b)Which type would be better for more than 3 visits? Explain
c) What is the equation of the line for part b.
b) 2 because for 4 visits it is cheaper($22 vs $24) and after that it increases by $3/visit vs $6/visit
c) y = 3x + 10
500
a) f(x) = 52x + 31, solve for f(x) when x = 1/7.
b) graph this function.
c) Give the equation of a line that is perpendicular to this function.
a) f(x) = 38.429
c) y = (-1/52)x + 10