A family drove their minivan across the country traveling from los Angeles to Miami the trip covered 2,950 miles if the average price for gas along the trip was 3.20 per gallon and the family paid 377.60 for gas during the trip how many gallons of gas did they use. can somebody help me with this question.

doesn't matter how many miles they drove. That's just noise, unless you have to figure their gas mileage.

On conversion problems like this, it's important to recall that you can always multiply by 1 and not change anything. The trick is to keep track of the units, so they cancel out properly, leaving you with what you want.

You want to convert dollars to gallons. The conversion factor is

1gallon/$3.20

That is just "1" with the proper units.
1 gallon = $3.20
1gallon/$3.20 = 1

So,

$377.60 * 1gal/$3.20 = 377.60/3.20 gal = 118 gal

I'm having problem understanding solving for x: 8 is to 64 as 2 is to x,

Can somebody help me with this,

Certainly! To find out how many gallons of gas the family used during the trip, we can divide the total amount they paid for gas by the average price per gallon.

First, let's calculate the number of gallons used during the trip:

Gallons = Total amount paid / Price per gallon

In this case, the total amount paid was $377.60 and the price per gallon was $3.20.

Gallons = 377.60 / 3.20

Dividing 377.60 by 3.20 will give us the gallons used:

Gallons = 118

Therefore, the family used 118 gallons of gas for their trip from Los Angeles to Miami.