1.

Question

The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.77 per gallon. Write a direct variation to model the total cost c for g gallons of gas.

g = 1.77c

c = 1.77g

c = g + 1.77

Answer 1

To model the total cost \( c \) for \( g \) gallons of gas that costs $1.77 per gallon, we can write the equation using direct variation.

The correct equation is:

\[ c = 1.77g \]

This means that the total cost \( c \) is directly proportional to the number of gallons \( g \) purchased, with $1.77 as the constant of variation (the cost per gallon).