Question

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Answer 1

Answer:

$a = 8.5t$

$y = 32.55$

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

$m = \frac{a_2 - a_1}{t_2 - t_1}$

Where:

$(t_1,a_1) = (15,127.5)$

$(t_2,a_2) = (16.5,140.25)$

$m = \frac{140.25 - 127.5}{16.5 - 15}$

$m = \frac{12.75}{1.5}$

$m = 8.5$

The equation is then calculated using:

$a = m(t - t_2) + a_2$

So, we have:

$a = 8.5(t - 16.5) + 140.25$

Open bracket

$a = 8.5t - 140.25 + 140.25$

$a = 8.5t$

Solving (10):

$4.8y = 156.24$

Required

Find x

Divide both sides by 4.8

$y = 32.55$