Answer:
[tex]y= x - 300[/tex]
[tex]y = -246[/tex] -- Her equivalent weight on earth
Step-by-step explanation:
Given
The attached table
Required
Fill in the gaps
(a) The equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we can say that:
[tex](x_1,y_1) = (0,-300)[/tex]
[tex](x_2,y_2) = (300,0)[/tex]
So, we have:
[tex]m = \frac{0 -(-300)}{300 - 0}[/tex]
[tex]m = \frac{0 +300}{300}[/tex]
[tex]m = \frac{300}{300}[/tex]
[tex]m = 1[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-300) = 1(x - 0)[/tex]
[tex]y +300 = 1(x)[/tex]
[tex]y +300 = x[/tex]
[tex]y= x - 300[/tex]
(b) When x = 54
Substitute 54 for x in [tex]y= x - 300[/tex]
[tex]y = 54 - 300[/tex]
[tex]y = -246[/tex]
