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1 answer:
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Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Answer:
(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.
(C)The GCF of the variables(a and ab) in each term in the expression is a.
(E)The factored form of the expression is 4a(7+9b)
Step-by-step explanation:
Given the expression:
If we write it as a product, we obtain:
We can see the following
- The GCF of the numbers(28 and 36) in each term in the expression is 4.
- The GCF of the variables(a and ab) in each term in the expression is a.
- The factored form of the expression is 4a(7+9b)
The correct options are B, C, and E.