Question

A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 46.7 feet below sea level. What is the maximum rate, r, that the scuba diver may descend?
r ≤ 24 19/25
r ≥ 24 19/25
r ≤ 12.6
r ≥ 12.6​

Answer 1

The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let r represent the rate. Since the initial depth is 15.2 feet below sea level, hence b = -15.2. Also, it reaches a depth no more than 46.7 feet below sea level within 2 1/2 (2.5 minutes). therefore:

2.5r - 15.2 ≤ -46.7

2.5r ≤ -31.5

r ≤ -12.6

r ≤ 12.6 (descending)

The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

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