For the class your car gets 32 miles per gallon of gas you need to travel 278 miles on day 1, 649 miles on day 2, and 482 miles on day 3.

What is the function? What are the domain and the range?

To find the function representing the mileage for the given scenario, we need to specify the input and output variables. In this case, the input variable is the number of days, and the output variable is the distance traveled in miles.

Let's express the function as follows:
f(days) = miles

Now, let's break down the information given for each day:

Day 1:
- Distance: 278 miles
- Number of days: 1

Day 2:
- Distance: 649 miles
- Number of days: 2

Day 3:
- Distance: 482 miles
- Number of days: 3

To find a pattern and determine the function, let's calculate the distance per day by dividing each day's distance by the number of days:

Day 1: 278 miles / 1 day = 278 miles/day
Day 2: 649 miles / 2 days = 324.5 miles/day
Day 3: 482 miles / 3 days ≈ 160.67 miles/day

We can observe that the mileage per day is not constant. Therefore, we cannot represent the given scenario with a single function. However, we can determine the average mileage per day.

Average mileage per day:
- Total distance: 278 miles + 649 miles + 482 miles = 1409 miles
- Total days: 3 days
- Average mileage per day: 1409 miles / 3 days ≈ 469.67 miles/day

So, the function representing the average mileage per day is:
f(days) = 469.67 miles

In terms of the domain and range:
- The domain of the function represents the possible values for the input variable, which is the number of days. In this case, the domain can be any positive integer since we can consider any number of days.
- The range of the function represents the possible values for the output variable, which is the mileage. In this case, the range is a set of positive real numbers since the mileage can be any positive value in miles.