The equality symbol “ = “ means that for all cases, the value of U and E * P must always be equal. This means that whatever happens on the left side, must equally happen on the right side.

So what this actually means is that, if we double U so we must also double the expression E * P, that is:

2 U = 2 (E * P)

However since P stays constant in the process, therefore only E is changed, hence:

2 U = P * 2 E

So we can see that E is also doubled.

4 0

3 years ago

Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.

kow [346]

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

7 0

3 years ago