1 Find the constant of proportionality for the graph and write in the form y = kx.
a ( y = 5x)
b ( y = 3x)
c ( y = 15x)
d( y = 1/5 x)
2 The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours, determine the constant of variation.
a 7
b 9
c 6
d 8
3 Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y.
x = 24 and y = 360
A x = 15xy
B y = 15x
C y = 15/x
D y = .15x
4 Length (x) Weight (y)
6 -------------15
9------------- 22.5
12----------- 30
15------------ 37.5
In her science classroom Jane noticed that the lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality.
A k = 2.5
B k = 1.5
C k = 2.0
D k = 3.0
5 The rate at which a plant grows is constant. At the 3rd week it is 12 inches tall and at the 5th week it is 20 inches tall. If this information is plotted on a coordinate plane, what is the y-coordinate of the point (1, y)?
A 1
B 2
C 4
D 9
6 Sarah is keeping up with how many miles her car gets per gallon. She starts with a full tank. After 448 miles, she fills up with 14 gallons. If she plots the points (0,0) and (14,448) on a coordinate plane, what would be the y-value of the point (1,y)?
A 26
B 32
C 16
D 28
7 Distance (miles) Time (hours)
7.5 1
15 2
22.5 3
30 4
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greatest speed and by how much.
(A ) Car B is going 2 times faster than Car A
(B) Car B is going 3 times faster than Car A
(C) Car A is going 2 times faster than Car B
(D) Car A is going 3 times faster than Car B
11 (boxes of candy ) ( 10- 9- 2- 6- 3 )
( pieces of candy ) ( 150- 135 -30 -90 -45)
Find the constant of proportionality for the table and write in the form y = kx.
A y = 10x
B y = 1/15x
C y = 15x
D y = 150x
12 Eric made a graph of the distance (y), in miles, he can ride a bicycle in x hours. Eric can ride 6.5 miles in 0.5 hour. Which point on the graph represents Eric’s rate of travel, in miles per hour?
A (1, 13)
B (0, 6.5)
C (0, 13)(
D (1, 6.5)
13 Identify the constant of proportionality in the equation.
3y = 15x
A 1
B 3
C 5
D 10
14 Solve the equation for x.
14(2x + 8) = −16
A −24
B −18
C −36
D −28
15 Which equation represents a proportional relationship?
A y = 1/2x + 2
B y = 1/2x
C y = 1/2x + 1/2
D y = 1/2x + 1
Oobleck if you're going to be rude just don't answer it's as simple as that. I'm sure you most likely do not have the real answer because it seems like you're upset because no one answered.
XD
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what's the answer to: Find the constant of proportionality for the graph and write in the from y = kx
To find the constant of proportionality (k) when given an equation of the form y = kx, you simply need to look at the coefficient in front of x. So for example:
a) y = 5x: k = 5
b) y = 3x: k = 3
c) y = 15x: k = 15
d) y = 1/5x: k = 1/5
I hope that helps!