Question

1.2 Fill in and complete pattern in the table below! Number of tables 4 5 6 7 Number of guests . Look at the pattern in 1.2 and describe how the number of guests who can be seated changes for each table added. Complete this sentence: To find the number of guests for each arrangement, you would 8 (2) S​

Answer 1

The equation for the number of arrangement from the number of guest is y = 12x + 2

How to determine the equation?

The pattern is given as:

x     y

0     2

1     14

2    26

3     38

The above table represents a linear function;

Start by calculating the slope (m) using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{14 - 2}{1 - 0}$

Evaluate

m = 12

The equation is then calculated using:

$y = m(x - x_1) + y_1$

So, we have:

y = 12(x - 0) + 2

Evaluate

y = 12x + 2

Hence, the equation for the number of arrangement from the number of guest is y = 12x + 2

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