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

I don't know how to do things like this :(

Fofino [41]

Answer:

Step-by-step explanation:

i think its a

3 0

3 years ago

Read 2 more answers

the area of a square sports arena is 10,000 m². What are the dimensions of the sports arena on the map? Show your work. (each ce

ollegr [7]

Answer:

2 cm.

Step-by-step explanation:

It is given that the area of a square sports arena is 10,000 m².

Area of a square = Square of side.

Let side of square sports arena is x m.

$x^2=10000$

Taking square root on both sides, we get

$x=\pm \sqrt{10000}$

$x=\pm 100$

Side length of a sports arena cannot be negative. So x=100 m.

It is given that each centimeter in map represents 50 m.

50 m = 1 cm

Multiply both sides by 2.

100 m = 2 cm

Therefore, the dimensions of the sports arena on the map is 2 cm.

8 0

3 years ago