Given:
a.) Our college students are planning a 1652 mile trip for spring break.
b.) The car they are pricing gets 25 miles to the gallon.
c.) Gasoline prices average $2.63 per gallon.
Step 1: Let's first determine how much gallon will they need to travel 1652 miles.
[tex]\text{ 1652 \lparen miles\rparen x }\frac{1\text{ gallon}}{\text{ 25 \lparen miles\rparen}}[/tex][tex]\text{ }\frac{1652}{25}\text{ gallons}[/tex][tex]\text{ = 66.08 gallons}[/tex]They will need 66.08 gallons.
Step 2: Let's now determine the total cost of 66.08 gallons.
[tex]\text{ 66.08 \lparen gallons\rparen x }\frac{\text{ \$}2.63}{1\text{ \lparen gallon\rparen}}[/tex][tex]\text{ = \$173.7904 }\approx\text{ \$173.79}[/tex]Step 3: Let's determine how much will each student need for gas.