Question

The table below shows the number of color pages a printer prints out over a period of time

Answer 1

Answer:

The constant of proportionality is 3/2

B is correct.

Step-by-step explanation:

We are given a table of Time (x) and Number of pages (y)

In x minutes printer prints y number of pages.

As we know the it would be direct proportion because if time increase number of printing page increase.

Thus, y=kx

x is time ( independent variable)

y is number of pages (dependent variable)

k is constant of proportionality.

From table we will take the value of x and y and to solve for k

x=2, y=3

3=2k

$k=\dfrac{3}{2}$

Hence, The constant of proportionality is 3/2

Answer 2

Answer:

Option B) $\frac{3}{2}$      

Step-by-step explanation:

We are given the following information in the question:

A table showing the number of pages printed(y) in time(x).

x:       2       6       8       18

y:       3        9      12       27

We have to find the constant of variation.

Constant of variation

• It is the number that relates two variables that are directly proportional or inversely proportional to one another.
• y = kx, k is the constant of proportionality.

Constant of variation =

$\displaystyle\frac{y_2-y_2}{x_2-x_1}\\\\(x_1.y_1), (x_2,y_2)\text{ are the points belonging to the given table.}$

Putting the values, we get:

$\text{Constant of variaion} = \displaystyle\frac{9-3}{6-2} = \frac{12-9}{8-6} = \frac{27-12}{18-8} = \frac{3}{2}$

Hence, the constant of variation is $\frac{3}{2}$