Nala can spend no more than $150 per month on gasoline. She has already purchased $60 in gas this month. Which inequality can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30

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22-08-2022
Mathematics

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Nala can spend no more than $150 per month on gasoline. She has already purchased $60 in gas this month. Which inequality can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30

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adioabiola adioabiola · Answer 1 · 2022-08-24T20:13:30+02:00

The inequality that can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30 is 3 fill-ups

Inequality

Amount Nala can spend on gasoline = $150
Amount of gasoline Nala purchased = $60
Cost of each fill up = $30
Maximum number of fill ups = x

150 ≤ 60 + 30x

150 - 60 ≤ 30x

90 ≤ 30x

divide both sides by 30

90 / 30 ≤ x

3 ≤ x

x ≥ 3

Therefore, the inequality that can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30 is 3 fill-ups

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