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

0.1 atmospheres per meter

Explanation:

khan hints

Answer 2

0.1 atmospheres per meter

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 =
`(y_2 - y_1)/(x_2 - x_1) = (2.7 - 2.3)/(17 - 13) = (0.4)/(4) = 0.1`

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