Question

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

Printed Pages in Color
Time (min), x
2
6
8
18
Number of pages, y
3
9
12
27

What is the constant of variation?

Answer 1

3/2

Explanation:

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Answer 2

Answer:
`k=(3)/(2)`

Explanation:

• The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities.

Since there is direct variation in the situation, therefore the value of equation we be in the form

`y=kx`, where k is the constant of variation.

From the given table, At x=2 y=3

`\\\Rightarrow\ 3=2k\\\Rightarrow\ k=(3)/(2)`