Question

Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate.
The table compares Manco's depth (in meters) and the water pressure around him (in atmospheres).
What is the rate of change of the water pressure?

Answer 1

Answer:

0.1 atmospheres per meter

Step-by-step explanation:

Depth (meters) = x

Pressure (atmospheres) = y

Using two pairs of values from the table, (13, 2.3) and (17, 2.7),

Rate of change of the water pressure = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{2.7 - 2.3}{17 - 13} = \frac{0.4}{4} = 0.1$

Rate of change of the water pressure = 0.1 atmospheres per meter