On Julyâ 1, a pond was 22 ft deep. Since thatâ date, the water level has dropped two thirds ft per week. For what dates will the water level not exceed 18 âft?

Question

Mathematics

Ciara Cochran

15 March, 17:22

On Julyâ 1, a pond was 22 ft deep. Since thatâ date, the water level has dropped two thirds ft per week. For what dates will the water level not exceed 18 âft?

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Answers (1)

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Aron Hodge · Answer 1

Answer: The date in which the water level will not exceed 18ft is August 12 (6 weeks after July 1)

Step-by-step explanation:

Given:

Initial water level = 22ft

Final water level = 18ft

Total water level change = 22-18 = 4ft

Rate of change of water level = 2/3 ft/week

Using the formula;

Total change = rate * time

Time = total change/rate

Substituting the values of the rate and total water level change.

Time = 4 / (2/3) week = 4 * 3 : 2 = 6weeks.

From July 1 + 6 weeks = August 12

The date in which the water level will not exceed 18ft is August 12 (6 weeks after July 1)