Question

The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of water.)

The graph shows how oxygen solubility S varies as a function of the water temperature T. Estimate the value of S'(24).

Answer 1

-0.188

Explanation:

It's asking for the instantaneous rate of change at S'(24).

the graph only shows S(T), so you need to find S'(24) by finding the slopes of the closest intervals to S(24) and averaging them together.

S(24) - S(16) / 24 - 16 = -0.25

S(32) - S(24) / 32 - 16 = -0.125

-0.25 + (-0.125) / 2 = -0.188