Question

The water temperature in the ocean varies inversely with the depth of the water. The deeper a person dives, the colder the water becomes. At a depth of 700 meters, the water temperature is 3º Celsius. What is the water temperature at a depth of 300 meters?

Answer 1

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 =   $T_w$

Let the depth of the ocean = d

So: $T_w$ $\alpha \frac{1}{d}$

$T_w=\frac{1}{d}$    ---- Equation 1

At a depth of 700 meters, the water temperature is 3º

$3= \frac{1}{700}$  

3 × 700 = 2100  ----- Equation 2

What is the water temperature at a depth of 300 meters?

$T_2=\frac{1}{300}$

300 $T_2$            ------- Equation (3)

Equating equation 2 and 3 together; we have:

2100 = 300 $T_2$

$T_2$ =  $\frac{2100}{300}$

$T_2$ = 7°C

∴ the water temperature is 7°C at a depth of 300 meters