If you're any good at inequalities, please help!
The gas tank in Lou’s car holds 13 gallons of gasoline. There are already 7 gallons of gasoline in the tank. He is putting gasoline that costs $2.50 per gallon in his car. Lou spends x dollars putting gasoline in his car. Model a compound inequality for this situation.

Question

27-05-2019
Mathematics

contestada

If you're any good at inequalities, please help!
The gas tank in Lou’s car holds 13 gallons of gasoline. There are already 7 gallons of gasoline in the tank. He is putting gasoline that costs $2.50 per gallon in his car. Lou spends x dollars putting gasoline in his car. Model a compound inequality for this situation.

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JuliaN165 JuliaN165 · Answer 1 · 2019-05-27T08:02:45+02:00

Answer:

So the maximum amount of gasoline the tank can contain is 13 gallons and there are already 7 gallons of gasoline in the tank. Therefore, we want to make sure that the amount of gasoline put in the tank doesn't reach any higher than 13 gallon.

The amount of gasoline that Lou bought with x dollars is x/2.50 gallons.

We have the inequality:

x/2.50 + 7 ≤ 13

*If you solve it, x should be smaller or equal to $15.