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To determine a monthly budget for gasoline, Rachael determines that she can not spend more
than 12% of her $400 monthly income on gasoline. To create a budget, she estimates that the cost
per gallon of gas will be $3.15. She writes the following inequality to express the situation where x
represents the number of gallons of gasoline she can purchase.
3.15(x) ≤400-12%
Solve the inequality to determine if she used an appropriate estimate for the cost of gasoline to purchase
no more than 15 gallons of gasoline each week. Show and Explain your work.

Respuesta :

facundo3141592

The solution of the given inequality is:

x ≤ 15.24

How to solve the inequality?

We know that the maximum that she can spend on gasoline is the 12% of $400.

That is:

(12%/100%)*$400 = 0.12*$400 = $48

Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:

x*$3.15 ≤ $48

To solve the inequality, we need to divide both sides by $3.15

x ≤ $48/$3.15

x ≤ 15.24

So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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