Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example 
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example 
where, k is constant of proportionality.
Answer:
It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.
Answer
2p+12b=12
Step-by step explanation
I used p for plates and b for bowls\
2p+12b=4+(4*2)
2p+12b=12
Answer:
849 items.
Step-by-step explanation:
Given that the profit C (in thousands of dollars) for x thousands of items related as

As the profit is $14,000 for producing 2000 items, so
C= 14 thousand dollars and
x= 2 thousand items.
Putting C= 14 in the equation ( we have),

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.
Hence, the other number of items for the same profit is 849 items.
Try this option.
1 is for scalar (result is number), 2 is for vector (result is vector).