An electric filter purifies air at the rate of 35 liters per minute and uses energy at the rate of 0.8 Joules per minute. It also purifies water at the rate of 25 liters per minute and uses energy at the rate of 1.3 Joules per minute. The filter is expected to purify more than 1000 liters of air and water while using less than 170 Joules of energy. Let A denote the number of minutes it spends purifying air and W the number of minutes it spends purifying water.

Question

Mathematics

Colin Cervantes

2 August, 18:26

An electric filter purifies air at the rate of 35 liters per minute and uses energy at the rate of 0.8 Joules per minute. It also purifies water at the rate of 25 liters per minute and uses energy at the rate of 1.3 Joules per minute. The filter is expected to purify more than 1000 liters of air and water while using less than 170 Joules of energy. Let A denote the number of minutes it spends purifying air and W the number of minutes it spends purifying water.

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Lila Waller · Answer 1

Write an inequality that represents the condition based on the number of liters of air and water.

35A+25W>1000

and the following inequality represents the condition based on the number of Joules of energy:

0.8A+1.3W<170