Answer:
[tex]a = 8.5t[/tex]
[tex]y = 32.55[/tex]
Step-by-step explanation:
Solving (9): The equation of the table
We start by calculating the slope (m)
[tex]m = \frac{a_2 - a_1}{t_2 - t_1}[/tex]
Where:
[tex](t_1,a_1) = (15,127.5)[/tex]
[tex](t_2,a_2) = (16.5,140.25)[/tex]
[tex]m = \frac{140.25 - 127.5}{16.5 - 15}[/tex]
[tex]m = \frac{12.75}{1.5}[/tex]
[tex]m = 8.5[/tex]
The equation is then calculated using:
[tex]a = m(t - t_2) + a_2[/tex]
So, we have:
[tex]a = 8.5(t - 16.5) + 140.25[/tex]
Open bracket
[tex]a = 8.5t - 140.25 + 140.25[/tex]
[tex]a = 8.5t[/tex]
Solving (10):
[tex]4.8y = 156.24[/tex]
Required
Find x
Divide both sides by 4.8
[tex]y = 32.55[/tex]
