I believe it's B.
If I'm wrong tell me so I can see what I did wrong.
The value of b is -6.
Explanation:
The expression is 
To determine the value of b, we shall solve the expression.
Applying exponent rule,
, we get,

Applying exponent rule,
, we have,

The expression is of the form,
then 
Applying this rule, we get,

Dividing both sides by 4, we have,

Hence, the value of b is -6.
The gas cost will be $19.53 for this trip.
Step-by-step explanation:
Given,
Distance covered by car per gallon = 32 miles
Cost of one gallon = $1.99
Unit rate in terms of miles;
32 miles = $1.99
1 mile = 
Therefore,
314 miles = Unit rate of mile * 314 miles
314 miles = 

Rounding off to nearest hundredth;
314 miles = $19.53
The gas cost will be $19.53 for this trip.
Keywords: unit rate, multiplication
Learn more about unit rate at:
#LearnwithBrainly
<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
<h2 /><h2>
Explanation:</h2>
See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:
Total cost for Oceanview:

Total cost for Beachside:

Where:

So we have to explain what the equation:

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>
<h2>
Learn more:</h2>
Linear equations: brainly.com/question/12412678
#LearnWithBrainly
1)1.082*10^9
2)1.496*10^8
3)2.2794*10^8
4)7.784*10^5
5)1.4236*10^9
6)2.867*10^9
7)4.4884*10^9
Hope it helped!