Answer:
The constant of proportionality k = 12
Hence, option A is true.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
Where 'k' is called the constant of proportionality.
In our case,
The given equation is
y = 12x
comparing with the equation y = kx, we can say
k = 12 which is the constant of proportionality.
Therefore, we conclude that:
The constant of proportionality k = 12
Hence, option A is true.
Step-by-step explanation:
s is inversely proportional to t
If s= 0.6 , t= 4
s=k/t
0.6= k/4
k=2.4
If s=12, then
t=k/s
t=2.4/12
t=0.05
Common denominators of 9 and 3 are 9. 27
Common denominators of 9 and 2 are 18 36
Answer
y = (1/4)x - 5 or 4y - x + 20 = 0
Explanation
To get the rule required, we interpret the sentence and write it in a mathematical form.
5 less than one fourth of x is y
one fourth of x ⇒ (1/4)x
5 less than one fourth of x is y ⇒ (1/4)x - 5 = y
y = (1/4)x - 5
4y = x - 20
4y - x + 20 = 0
1/2 yards times ) is 3, so 1/2 would be the answer.
