Answer:
7°C
Explanation:
Given that ;
The water temperature in the ocean varies inversely with the depth of the water.
Let the water temperature be = [tex]T_w[/tex]
Let the depth of the ocean = d
So: [tex]T_w[/tex] [tex]\alpha \frac{1}{d}[/tex]
[tex]T_w=\frac{1}{d}[/tex] ---- Equation 1
At a depth of 700 meters, the water temperature is 3º
[tex]3= \frac{1}{700}[/tex]
3 × 700 = 2100 ----- Equation 2
What is the water temperature at a depth of 300 meters?
[tex]T_2=\frac{1}{300}[/tex]
300 [tex]T_2[/tex] ------- Equation (3)
Equating equation 2 and 3 together; we have:
2100 = 300 [tex]T_2[/tex]
[tex]T_2[/tex] = [tex]\frac{2100}{300}[/tex]
[tex]T_2[/tex] = 7°C
∴ the water temperature is 7°C at a depth of 300 meters
