Answer:
![y= x - 300](https://img.qammunity.org/2022/formulas/mathematics/college/q3mjtjm3dyr6dhpmwldgbu233n9kfbd18t.png)
-- Her equivalent weight on earth
Explanation:
Given
The attached table
Required
Fill in the gaps
(a) The equation
First, we calculate the slope (m)
![m = (y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2022/formulas/mathematics/college/i1pa2mybgkt3dkd7j6tklhm5t9tvmo4g5v.png)
From the table, we can say that:
![(x_1,y_1) = (0,-300)](https://img.qammunity.org/2022/formulas/mathematics/college/s9w9sfzracfcdowu6x81r2obi1lnixzwhq.png)
![(x_2,y_2) = (300,0)](https://img.qammunity.org/2022/formulas/mathematics/college/xg2sgyqpg126bkmw68gysmec7ynoauuyd7.png)
So, we have:
![m = (0 -(-300))/(300 - 0)](https://img.qammunity.org/2022/formulas/mathematics/college/y2j50efqmwakl7shmb523bmailtc3xcby9.png)
![m = (0 +300)/(300)](https://img.qammunity.org/2022/formulas/mathematics/college/oq0v55vdpg3b31vqb9lpdax8bwlc6scv05.png)
![m = (300)/(300)](https://img.qammunity.org/2022/formulas/mathematics/college/xn509st6hm6xy61lvak1c26a8jaipwlaed.png)
![m = 1](https://img.qammunity.org/2022/formulas/mathematics/college/nsmefthyffnvqbn545rfzl1ggeljz3ivps.png)
The equation is then calculated using:
![y - y_1 = m(x - x_1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5jf0auc5wqq3grmvpbhgq9274kq111gp7w.png)
This gives:
![y - (-300) = 1(x - 0)](https://img.qammunity.org/2022/formulas/mathematics/college/d1skx3fka0n6zjewzefkvmpttde7lgb8h8.png)
![y +300 = 1(x)](https://img.qammunity.org/2022/formulas/mathematics/college/5uwlg71oh3knk6ubvwjvgzmd3bvx2zno86.png)
![y +300 = x](https://img.qammunity.org/2022/formulas/mathematics/college/jm3djrykwthe91a960vt5u9whl06wxbl8e.png)
![y= x - 300](https://img.qammunity.org/2022/formulas/mathematics/college/q3mjtjm3dyr6dhpmwldgbu233n9kfbd18t.png)
(b) When x = 54
Substitute 54 for x in
![y= x - 300](https://img.qammunity.org/2022/formulas/mathematics/college/q3mjtjm3dyr6dhpmwldgbu233n9kfbd18t.png)
![y = 54 - 300](https://img.qammunity.org/2022/formulas/mathematics/college/5hh3mmmmk9vb1m0439jf0q20de6zvjhb7t.png)
![y = -246](https://img.qammunity.org/2022/formulas/mathematics/college/pvm6obquaqz54u9fehmx3imclf0e18tdyv.png)