Here, we are interested in writing an inequality then proceeding to solve the written inequality.
We start from the cost of daily rental and cost per mile
This is set in the question as $30 per day and $0.20 per mile
The total amount she has to spend is given as $94
This means the total cost of the car rental and cost per mile should be less than or equal to $94
Let the number of miles she can travel be m;
We can thus have the inequality as;
It is this inequality we can now proceed to solve;
0.2m ≤ 94 - 30
0.2m ≤ 64
m ≤ 64/0.2
m ≤ 320 miles
Hence, while staying within her budget, the greatest distance that Talia can drive each day is 320 miles