Question

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? \\(\bigcirc\\) \\(30n + 60\geq150\\) \\(\bigcirc\\) \\(30n + 60\leq150\\) \\(\bigcirc\\) \\(60n + 30\leq150\\) \\(\bigcirc\\) \\(60n + 30\geq150\\)

Explanation:

Step1: Define variable for fill-ups

Let $n$ = number of remaining fill-ups.

Step2: Calculate cost of new fill-ups

Cost of $n$ fill-ups: $30n$

Step3: Total gas cost so far + new cost

Total cost: $30n + 60$

Step4: Set total ≤ monthly limit

Total cost ≤ $150$, so $30n + 60 \leq 150$

Answer:

$30n + 60 \leq 150$