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 cost

Answer 1

The direct variation formula is:
\[ c = k \cdot g \]

Where:
- \( c \) is the total cost in dollars
- \( g \) is the number of gallons purchased
- \( k \) is the constant of variation

In this case, since gas costs $1.77 per gallon, the constant of variation \( k \) is $1.77. Therefore, the direct variation model for the total cost of gas purchased in \( g \) gallons is:
\[ c = 1.77 \cdot g \]