- The relationship between amount earned and number of hours is proportional.
- The point represented by the constant of proportionality is point 1 with a y-axis value of 8.
- The y/x ratio for each point are : 0, 8, 8, 8, 8, 8 respectively.
A.)
From the table ;
We could deduce, that the value of y increases as x increases : this could mean a direct variation :
y α x
y = kx
k = constant of proportionality
k = y/x
Missing value of x in the table could be inferred to be 4
Find k., when x = 4 and y = 32
k = 32/4
k = 8
Hence :
Values of y :
For x = 1
y = 8 × 1 = 8
For x = 2
y = 8 × 2 = 16
For x = 3
y = 8 × 3 = 24
For x = 5
y = 8 × 5 = 40
The table :
x __ 0 __ 1 __ 2 __ 3 __ 4 ___ 5
y __ 0 __ 8 _ 16 __24 _ 32 __ 40
B.)
The relationship between amount earned and number of hours is proportional as values obey the proportionality relationship shown in A.
C.)
The point which represents the constant of proportionality should have a y value of 8 :
Hence, the point is 1.
D.)
The y/x ratio :
Point 0 :
y/x = 0/0 = 0
Point 1 :
y/x = 8/1 = 8
Point 2 :
y/x = 16 /2 = 8
Point 3 :
y/x = 24/3 = 8
Point 4 :
y/x = 32 / 4 = 8
Point 5 :
y/x = 40 / 5 = 8
Learn more : https://brainly.com/question/19775117?referrer=searchResults
