Answer:
[tex]s = 54m +160[/tex]
Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:
[tex](m_1,s_1) = (2,268)[/tex]
[tex](m_2,s_2) = (4,376)[/tex]
Next, we determine the slope, M:
[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]
[tex]M = \frac{376 - 268}{4-2}[/tex]
[tex]M = \frac{108}{2}[/tex]
[tex]M = 54[/tex]
The equation is then calculated as:
[tex]s - s_1 = M(m - m_1)[/tex]
Where:
[tex]M = 54[/tex]
[tex](m_1,s_1) = (2,268)[/tex]
So, we have:
[tex]s - 268 = 54(m - 2)[/tex]
Open bracket
[tex]s - 268 = 54m - 108[/tex]
Collect like terms
[tex]s = 54m - 108 + 268[/tex]
[tex]s = 54m +160[/tex]
Hence, the equation is: [tex]s = 54m +160[/tex]
