Mathematics: The function y = n + 3 describes the sequence 3, 6, 9, 12

The function y = n + 3 describes the sequence 3,

lucywood2024

27.07.2022

Step-by-step explanation:

We have to write an equation which represents the area of Felicia covered y in terms of the number of tiles she used.

Let x= Number of tiles

y=Area covered by Felicia's tile

x_1=9, x_2=18, x_3=27

y_1=1, y_2=2,y_3=3

$\frac{x_1}{y_1}=\frac{9}{1}=9$

$\frac{x_2}{y_2}=\frac{18}{2}=9$

$\frac{x_3}{y_3}=\frac{27}{3}=9$

The ratio of x and y remains constant.Therefore, it is direct proportion .

Equation of direction proportion is given by

$\frac{x}{y}=k$

Where

k=The value of ratio of x and y

x and y are variables

We have k=9

Substitute the values in the equation

Then, we get

$\frac{x}{y}=9$

x=9y

$y=\frac{1}{9}x$

This is required equation which representing the area of Felicia covered y in terms of the number of tile she used x.

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